Assoc. Prof. Dr. Serkan Aracı

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1. Article A new construction of probabilistic Hermite polynomials with their certain applications

   Doğruer Doğan Burcu, Açıkgöz Mehmet, Karagenç Ayşe, Aracı Serkan

   Published in: Networks and Heterogeneous Media · 21(3) · pp. 997-1016, 2026

   • International
   • Peer-reviewed
   • SCI-Expanded
   • JCR Q3
   • Scopus Q2
   • CiteScore 2,5 · %63
   • Scopus citations: 0
   • Original Article

   https://doi.org/10.3934/nhm.2026041

2. Article Mathematical modelling of photovoltaic systems derived from Taylor series expansion of degenerate exponential functions

   Delibaş Hasan Mithat, Yılmaz Necip Fazıl, Aracı Serkan

   Published in: Solar Energy · 312, 2026

   • International
   • Peer-reviewed
   • SCI-Expanded
   • JCR Q2
   • Scopus Q1
   • CiteScore 13,0 · %89
   • Scopus citations: 1
   • OpenAlex citations: 1
   • Original Article

   https://doi.org/10.1016/j.solener.2026.114598

   HKU authors: Hasan Mithat Delibaş

3. Article New Families of Certain Special Polynomials: A Kaniadakis Calculus Viewpoint

   Duran Uğur, Açıkgöz Mehmet, Aracı Serkan

   Published in: Symmetry · 17(9), 2025

   • International
   • Peer-reviewed
   • SCI-Expanded
   • JCR Q2
   • Scopus Q1
   • CiteScore 5,2 · %91
   • Scopus citations: 2
   • Original Article

   https://doi.org/10.3390/sym17091534

4. Article Artificial hybrid neural network-based simultaneous scheme for solving nonlinear equations: Applications in engineering

   Shams Mudassir, Kausar Nasreen, Aracı Serkan, Oros Georgia Irina

   Published in: Alexandria Engineering Journal · 108 · pp. 305, 2024

   • International
   • Peer-reviewed
   • SCI-Expanded
   • JCR Q1
   • Scopus Q1
   • CiteScore 12,9 · %96
   • Scopus citations: 17
   • Original Article

   https://doi.org/10.1016/j.aej.2024.07.078

5. Article A Subclass of Janowski Starlike Functions Involving Mathieu-Type Series

   Liu Dong, Aracı Serkan, Khan Bilal

   Published in: Symmetry · 14(1), 2022

   • International
   • Peer-reviewed
   • SCI-Expanded
   • JCR Q2
   • Scopus Q1
   • CiteScore 5,2 · %91
   • Scopus citations: 3
   • Original Article

   https://doi.org/10.3390/sym14010002

6. Article A fractional system of Cauchy-reaction diffusion equations by adopting Robotnov function

   Kumar Sunil, Ghosh Surath, Jleli Mohamed, Aracı Serkan

   Published in: Numerical Methods for Partial Differential Equations · 38(3) · pp. 470-489, 2022

   • International
   • Peer-reviewed
   • SCI-Expanded
   • JCR Q1
   • Scopus Q1
   • CiteScore 6,6 · %94
   • Scopus citations: 15
   • Original Article

   https://doi.org/10.1002/num.22649

7. Article A subclass of meromorphic Janowski-type multivalent q-starlike functions involving a q-differential operator

   Ahmad Bakhtiar, Mashwani Wali Khan, Aracı Serkan, Mustafa Saima, Khan Muhammad Ghaffar, Khan Bilal

   Published in: Advances in Continuous and Discrete Models · 2022, 2022

   • International
   • Peer-reviewed
   • SCI-Expanded
   • Scopus Q1
   • CiteScore 2,9 · %88
   • Scopus citations: 8
   • Original Article

   https://doi.org/10.1186/s13662-022-03683-y

8. Article Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev Polynomials

   Khan Bilal, Liu Zhi-Guo, Shaba Timilehin Gideon, Aracı Serkan, Khan Nazar, Khan Muhammad Ghaffar

   Published in: Journal of Mathematics · 2022, 2022

   • International
   • Peer-reviewed
   • SCI-Expanded
   • JCR Q2
   • Scopus Q2
   • CiteScore 3,6 · %74
   • Scopus citations: 57
   • Original Article

   https://doi.org/10.1155/2022/8162182

9. Article Differential and integrodifferential equations for Gould-Hopper-Frobenius-Euler polynomials

   Mir Shabir Ahmad, Nisar K. S., Akhter Tawheeda, Aracı Serkan

   Published in: Mathematical Sciences, 2022

   • International
   • Peer-reviewed
   • SCI-Expanded
   • JCR Q1
   • Scopus Q1
   • CiteScore 5,9 · %93
   • Scopus citations: 1
   • Original Article

   https://doi.org/10.1007/s40096-022-00466-0

10. Article Inclusion Relations for Dini Functions Involving Certain Conic Domains

    Khan Bilal, Khan Shahid, Ro Jong-Suk, Aracı Serkan, Khan Nazar, Khan Nasir

    Published in: Fractal and Fractional · 6, 2022

    • International
    • Peer-reviewed
    • SCI-Expanded
    • JCR Q1
    • Scopus Q1
    • CiteScore 6,8 · %97
    • Scopus citations: 2
    • Original Article

    https://doi.org/10.3390/fractalfract6020118

11. Article Results Concerning the Analysis of Multi-Index Whittaker Function

    Khan Nabiullah, Husain Saddam, Usman Talha, Aracı Serkan

    Published in: Journal of Mathematics · 2022, 2022

    • International
    • Peer-reviewed
    • SCI-Expanded
    • JCR Q2
    • Scopus Q2
    • CiteScore 3,6 · %74
    • Scopus citations: 4
    • Original Article

    https://doi.org/10.1155/2022/3828104

12. Article Some properties of generalized (s,k)-Bessel function in two variables

    Ali RS, Mubeen S, Nisar K. S., Aracı Serkan, Rahman G

    Published in: Journal of Mathematics and Computer Science · 24(1) · pp. 10-21, 2022

    • International
    • Peer-reviewed
    • Web of Science: Emerging Sources Citation Index; SCOPUS
    • Scopus Q1
    • CiteScore 2,5 · %79
    • Scopus citations: 3
    • Original Article

    https://doi.org/10.22436/jmcs.024.01.02

13. Article A Note on q-Fubini-Appell Polynomials and Related Properties

    Muhyi Abdulghani, Aracı Serkan

    Published in: Journal of Function Spaces · 2021, 2021

    • International
    • Peer-reviewed
    • SCI-Expanded
    • JCR Q1
    • Scopus Q1
    • CiteScore 5,8 · %77
    • Scopus citations: 21
    • Original Article

    https://doi.org/10.1155/2021/3805809

14. Article A new class of Bernoulli polynomials attached to polyexponential functions and related identities

    Aracı Serkan

    Published in: Advanced Studies in Contemporary Mathematics · 31(2) · pp. 195-204, 2021

    • International
    • Peer-reviewed
    • MathSciNet
    • Scopus Q2
    • CiteScore 1,5 · %67
    • Original Article

    https://doi.org/10.17777/ascm2021.31.2.195

15. Article A new extension of Srivastava's triple hypergeometric functions and their associated properties

    Saboor Abdus, Rahman Gauhar, Anjum Zunaira, Nisar Kottakkaran Sooppy, Aracı Serkan

    Published in: Analysis · 41(1) · pp. 13-24, 2021

    • International
    • Peer-reviewed
    • SCOPUS
    • Scopus citations: 9
    • Original Article

    https://doi.org/10.1515/anly-2020-0036

16. Article A new structure of an integral operator associated with trigonometric Dunkl settings

    Al-Omari Shrideh, Aracı Serkan, Al-Smadi Mohammed

    Published in: Advances in Difference Equations · 2021, 2021

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 1
    • Original Article

    https://doi.org/10.1186/s13662-021-03485-8

17. Article An attractive numerical algorithm for solving nonlinear Caputo-Fabrizio fractional Abel differential equation in a Hilbert space

    Al-Smadi Mohammed, Djeddi Nadir, Momani Shaher, Al-Omari Shrideh, Aracı Serkan

    Published in: Advances in Difference Equations · 2021, 2021

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 51
    • Original Article

    https://doi.org/10.1186/s13662-021-03428-3

18. Article Bell-Based Bernoulli Polynomials With Applications

    Duran Uğur, Aracı Serkan, Açıkgöz Mehmet

    Published in: Axioms · 10(1), 2021

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 2,2 · %80
    • Scopus citations: 26
    • Original Article

    https://doi.org/10.3390/axioms10010029

19. Article Certain fundamental properties of generalized natural transform in generalized spaces

    Al-Omari Shrideh Khalaf, Aracı Serkan

    Published in: Advances in Difference Equations · 2021, 2021

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 8
    • Original Article

    https://doi.org/10.1186/s13662-021-03328-6

20. Article Chebyshev type inequality containing a fractional integral operator with a multi-index Mittag-Leffler function as a kernel

    Jangid Kamlesh, Purohit Sunil Dutt, Nisar Kottakkaran, Aracı Serkan

    Published in: Analysis · 41(1) · pp. 61-67, 2021

    • International
    • Peer-reviewed
    • SCOPUS
    • Scopus Q3
    • CiteScore 1,7 · %49
    • Scopus citations: 9
    • Original Article

    https://doi.org/10.1515/anly-2020-0051

21. Article Construction of Degenerate $q$-Daehee Polynomials with Weight $\\alpha $ and its Applications

    Aracı Serkan

    Published in: Fundamental Journal of Mathematics and Applications · 4(1) · pp. 25-32, 2021

    • National
    • Peer-reviewed
    • TR DİZİN
    • Original Article

    https://doi.org/10.33401/fujma.837479

22. Article Construction of a new class of generating functions of binary products of some special numbers and polynomials

    Boughaba Souhila, Boussayoud Ali, Aracı Serkan, Kerada Mohamed, Açıkgöz Mehmet

    Published in: Filomat · 35(3), 2021

    • International
    • Peer-reviewed
    • SCI-Expanded
    • JCR Q3
    • Scopus Q2
    • CiteScore 1,6 · %69
    • Original Article

    Access ↗

23. Article Construction of a new class of symmetric function of binary products of (p, q)-numbers with 2-orthogonal Chebyshev polynomials

    Saba Nabiha, Boussayoud Ali, Aracı Serkan, Kerada Mohamed, Açıkgöz Mehmet

    Published in: Boletín de la Sociedad Matemática Mexicana · 27, 2021

    • International
    • Peer-reviewed
    • Web of Science: Emerging Sources Citation Index; SCOPUS
    • Scopus Q2
    • CiteScore 1,4 · %52
    • Scopus citations: 12
    • Original Article

    https://doi.org/10.1007/s40590-021-00316-4

24. Article Construction of a new family of Fubini-type polynomials and its applications

    Srivastava Hari, Srivastava Rekha, Muhyi Abdulghani, Yasmin Ghazala, Islahi Hibah, Aracı Serkan

    Published in: Advances in Difference Equations · 2021, 2021

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 15
    • Original Article

    https://doi.org/10.1186/s13662-020-03202-x

25. Article Degenerate poly type 2-Bernoulli polynomials

    Aracı Serkan

    Published in: Mathematical Sciences and Applications E-Notes · 9(1) · pp. 1-8, 2021

    • National
    • Peer-reviewed
    • Endekste taranmıyor
    • Scopus Q2
    • CiteScore 1,2 · %57
    • Scopus citations: 6
    • Original Article

    https://doi.org/10.36753/mathenot.839111

26. Article Symmetric functions of the k-Fibonacci and k-Lucas numbers

    Boussayoud Ali, Kerada Mohamed, Aracı Serkan, Açıkgöz Mehmet

    Published in: Asian-European Journal of Mathematics · 14(3), 2021

    • International
    • Peer-reviewed
    • Web of Science: Emerging Sources Citation Index; SCOPUS
    • Scopus Q3
    • CiteScore 1,4 · %42
    • Scopus citations: 9
    • Original Article

    https://doi.org/10.1142/s1793557121500315

27. Article A General Class of the Three-Variable Unified Apostol-Type q-Polynomials and Multiple Power q-Sums

    Srivastava Hari, Khan Subuhi, Aracı Serkan, Açıkgöz Mehmet, Riyasat Mumtaz

    Published in: Bulletin of the Iranian Mathematical Society · 46 · pp. 519-542, 2020

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q2
    • CiteScore 2,0 · %64
    • Scopus citations: 10
    • Original Article

    https://doi.org/10.1007/s41980-019-00273-9

28. Article A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays

    Srivastava Hari, Riyasat Mumtaz, Khan Subuhi, Aracı Serkan, Açıkgöz Mehmet

    Published in: Applied Mathematics and Computation · 369, 2020

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 7,6 · %92
    • Scopus citations: 14
    • Original Article

    https://doi.org/10.1016/j.amc.2019.124683

29. Proceeding A new class of Bernoulli polynomials attached to poly exponential functions, and related identities

    Aracı Serkan

    Published in: 26th INTERNATIONAL CONFERENCE OF INTERNATIONAL ACADEMY OF PHYSICAL SCIENCES (CONIAPS-XXVI) · Karnataka, Hindistan, 2020

    • International
    • Özet bildiri
    • Davetli Konuşmacı

30. Article A study on some new results arising from (p,q)-calculus

    Duran Uğur, Açıkgöz Mehmet, Aracı Serkan

    Published in: TWMS Journal of Pure and Applied Mathematics · 11(1) · pp. 57-71, 2020

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Original Article

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31. Article Computation of certain integral formulas involving generalized Wright function

    Khan Nabiullah, Usman Talha, Aman Mohd, Al-Omari Shrideh, Aracı Serkan

    Published in: Advances in Difference Equations · 2020, 2020

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 10
    • Original Article

    https://doi.org/10.1186/s13662-020-02948-8

32. Article Construction of partially degenerate Laguerre-Genocchi polynomials with their applications

    Usman Talha, Aman Mohd, Khan Owais, Nisar K. S., Aracı Serkan

    Published in: AIMS Mathematics · 5, 2020

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 3,6 · %86
    • Scopus citations: 11
    • Original Article

    https://doi.org/10.3934/math.2020280

33. Article Construction of the type 2 poly-Frobenius-Genocchi polynomials with their certain applications

    Duran Uğur, Açıkgöz Mehmet, Aracı Serkan

    Published in: Advances in Difference Equations · 2020, 2020

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 16
    • Original Article

    https://doi.org/10.1186/s13662-020-02889-2

34. Proceeding Degenerate poly-type 2-Bernoulli numbers and polynomials.

    Aracı Serkan

    Published in: International conference on Recent Trends in Applied and Computational Mathematics(ICRTACM-2020) · New Delhi, Hindistan, 2020

    • International
    • Özet bildiri
    • Davetli Konuşmacı

35. Article Estimates of certain paraxial diffraction integral operator and its generalized properties

    Al-Omari Shrideh, Aracı Serkan, Al-Smadi Mohammed, Gumah Ghaleb, Alrabaiah Hussam

    Published in: Advances in Difference Equations · 2020, 2020

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 1
    • Original Article

    https://doi.org/10.1186/s13662-020-02859-8

36. Proceeding Identities involving 3-variable Hermite polynomials arising from Umbral method

    Raza Nusrat, Zainab Umme, Aracı Serkan, Esi Ayhan

    Published in: 7th International Conference on Recent Advances in Pure and Applied Mathematics · Muğla, Türkiye, 2020

    • International
    • Özet bildiri
    • Sözlü Sunum

37. Article Identities involving 3-variable Hermite polynomials arising from umbral method

    Raza Nusrat, Zainab Umme, Aracı Serkan, Esi Ayhan

    Published in: Advances in Difference Equations · 2020, 2020

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 19
    • Original Article

    https://doi.org/10.1186/s13662-020-03102-0

38. Article New construction of type 2 degenerate central Fubini polynomials with their certain properties

    Sharma Sunil Kumar, Khan Waseem A., Aracı Serkan, Ahmed Sameh S.

    Published in: Advances in Difference Equations · 2020, 2020

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 34
    • Original Article

    https://doi.org/10.1186/s13662-020-03055-4

39. Article New type of degenerate Daehee polynomials of the second kind

    Sharma Sunil Kumar, Khan Waseem A., Aracı Serkan, Ahmed Sameh S.

    Published in: Advances in Difference Equations · 2020, 2020

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 29
    • Original Article

    https://doi.org/10.1186/s13662-020-02891-8

40. Article Solution of Fractional Kinetic Equations Associated with the (p,q)-Mathieu-Type Series

    Suthar D. L., Purohit S. D., Aracı Serkan

    Published in: Discrete Dynamics in Nature and Society · 2020, 2020

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q2
    • CiteScore 4,5 · %60
    • Scopus citations: 29
    • Original Article

    https://doi.org/10.1155/2020/8645161

41. Article Some Fractional Operators with the Generalized Bessel-Maitland Function

    Ali R. S., Mubeen S., Nayab I., Aracı Serkan, Rahman G., Nisar K. S.

    Published in: Discrete Dynamics in Nature and Society · 2020, 2020

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q2
    • CiteScore 4,5 · %60
    • Scopus citations: 18
    • Original Article

    https://doi.org/10.1155/2020/1378457

42. Article A Note on the Truncated-Exponential Based Apostol-Type Polynomials

    Srivastava Hari Mohan, Aracı Serkan, Khan Waseem Ahmad, Açıkgöz Mehmet

    Published in: Symmetry · 11(4) · pp. 538, 2019

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 5,2 · %91
    • Scopus citations: 31
    • Original Article

    https://doi.org/10.3390/sym11040538

43. Article Certain Results for the Twice-Iterated 2D q-Appell Polynomials

    Srivastava Hari, Yasmin Ghazala, Muhyi Abdulghani, Aracı Serkan

    Published in: Symmetry · 11, 2019

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 5,2 · %91
    • Scopus citations: 25
    • Original Article

    https://doi.org/10.3390/sym11101307

44. Article Certain Results of q-Sheffer-Appell polynomials q -Sheffer–Appell Polynomials

    Yasmin Ghazala, Muhyi Abdulghani, Aracı Serkan

    Published in: Symmetry · 11(2) · pp. 159, 2019

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 5,2 · %91
    • Scopus citations: 18
    • Original Article

    https://doi.org/10.3390/sym11020159

45. Article Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution

    Aracı Serkan, Gauhar Rahman, Ghaffar Abdul, Nisar Kottakkaran

    Published in: Mathematics · 7(3) · pp. 248, 2019

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 5,4 · %91
    • Scopus citations: 26
    • Original Article

    https://doi.org/10.3390/math7030248

46. Article Generating functions of binary products of k-Fibonacci and orthogonal polynomials

    Boussayoud Ali, Boughaba Souhila, Kerada Mohamed, Aracı Serkan, Açıkgöz Mehmet

    Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas · 2019 · pp. 1-12, 2019

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 3,5 · %93
    • Scopus citations: 20
    • Original Article

    https://doi.org/10.1007/s13398-019-00641-4

47. Article On finite extensions of FC-groups in the class of NF-groups

    Chelgham M, Kerada M, Noui L, Aracı Serkan

    Published in: Algebra Colloquium · 26(1) · pp. 23-30, 2019

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q4
    • CiteScore 0,7 · %17
    • Original Article

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48. Article On weighted q-Daehee polynomials with their applications

    Aracı Serkan, Duran Uğur, Açıkgöz Mehmet

    Published in: Indagationes Mathematicae · 30(2) · pp. 365-374, 2019

    • International
    • Peer-reviewed
    • SCI-Expanded
    • JCR Q3
    • Scopus Q3
    • CiteScore 1,3 · %47
    • Scopus citations: 20
    • Derleme Makale

    https://doi.org/10.1016/j.indag.2018.10.002

49. Article Symmetric functions of binary products of fibonacci and orthogonal polynomials

    boussayoud ali, kerada mohammad, Aracı Serkan, Acikgöz Mehmet, Esi Ayhan

    Published in: Filomat · 33(6) · pp. 14951504, 2019

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q2
    • CiteScore 1,6 · %69
    • Original Article

    https://doi.org/10.2298/fil1906495b

50. Article Truncated-exponential-based Frobenius-Euler polynomials

    Kumam Wiyada, Srivastava Hari, Wani Shahid Ahmad, Aracı Serkan, Kumam Poom

    Published in: Advances in Difference Equations · 2019, 2019

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 17
    • Original Article

    https://doi.org/10.1186/s13662-019-2462-0

51. Article A New Class of Hermite-Apostol Type Frobenius-Euler Polynomials and Its Applications

    Aracı Serkan, Riyasat Mumtaz, Wani Shahid, Khan Subuhi

    Published in: Symmetry · 10(11) · pp. 652, 2018

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 5,2 · %91
    • Scopus citations: 11
    • Original Article

    https://doi.org/10.3390/sym10110652

52. Article Applications of Fourier Series and Zeta Functions to Genocchi Polynomials

    Aracı Serkan, Açıkgöz Mehmet

    Published in: Applied Mathematics & Information Sciences · 12(5) · pp. 951-955, 2018

    • International
    • Peer-reviewed
    • SCOPUS
    • Scopus Q1
    • CiteScore 3,5 · %97
    • Scopus citations: 7
    • Original Article

    https://doi.org/10.18576/amis/120508

53. Article Approximation degree of Durrmeyer–Bézier type operators

    Agrawal PN, Aracı Serkan, Bohner Martin, Lipi Kumari

    Published in: Journal of Inequalities and Applications · 2018(1), 2018

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 3,3 · %93
    • Scopus citations: 4
    • Original Article

    https://doi.org/10.1186/s13660-018-1622-1

54. Article Certain fractional calculus formulas involving extended generalized Mathieu series

    Singh Gurmej, Agarwal Praveen, Aracı Serkan, Açıkgöz Mehmet

    Published in: Advances in Difference Equations · 144, 2018

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Original Article

55. Article Computation of Nevanlinna characteristic functions derived from generating functions of some special numbers

    Aracı Serkan, Açıkgöz Mehmet

    Published in: Journal of Inequalities and Applications · 128, 2018

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 3,3 · %93
    • Original Article

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56. Article Construction of Fourier expansion of Apostol Frobenius–Euler polynomials and its applications

    Aracı Serkan, Açıkgöz Mehmet

    Published in: Advances in Difference Equations · 67, 2018

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 27
    • Original Article

    https://doi.org/10.1186/s13662-018-1526-x

57. Article Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials

    He Yuan, Aracı Serkan, Srivastava Hari, Abdel-Aty Mahmoud

    Published in: Mathematics · 6(12) · pp. 329, 2018

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 5,4 · %91
    • Scopus citations: 15
    • Original Article

    https://doi.org/10.3390/math6120329

58. Article Research on Some New Results Arising from Multiple q-Calculus

    Duran Uğur, Açıkgöz Mehmet, Aracı Serkan

    Published in: Filomat · 32(1) · pp. 1-9, 2018

    • International
    • Peer-reviewed
    • SCI
    • JCR Q3
    • Scopus Q2
    • CiteScore 1,6 · %69
    • Scopus citations: 2
    • Original Article

    https://doi.org/10.2298/fil1801001d

59. Article Symmetric Identities of Hermite-Bernoulli Polynomials and Hermite-Bernoulli Numbers Attached to a Dirichlet Character χ

    Aracı Serkan, Khan Waseem, Nisar Kottakkaran

    Published in: Symmetry · 10(12) · pp. 675, 2018

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 5,2 · %91
    • Scopus citations: 4
    • Original Article

    https://doi.org/10.3390/sym10120675

60. Article Unified (p,q)-analog of Apostol type polynomials of order alpha

    Duran Uğur, Açıkgöz Mehmet, Aracı Serkan

    Published in: Filomat · 32(2) · pp. 387-394, 2018

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q2
    • CiteScore 1,6 · %69
    • Original Article

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61. Article (ρ,q)-Volkenborn integration

    Aracı Serkan, Duran Uğur, Açıkgöz Mehmet

    Published in: Journal of Number Theory · 171 · pp. 18-30, 2017

    • International
    • Peer-reviewed
    • SCI-Expanded
    • JCR Q3
    • Scopus Q3
    • CiteScore 1,4 · %46
    • Scopus citations: 10
    • Original Article

    https://doi.org/10.1016/j.jnt.2016.07.019

62. Article A novel approach for obtaining new identities for the lambda extension of q-Euler polynomials arising from the q-umbral calculus

    Aracı Serkan, Açıkgöz Mehmet, Diagana Toka, Srivastava Hari Mohan

    Published in: Journal of Nonlinear Sciences and Applications · 10(04) · pp. 1316-1325, 2017

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q4
    • CiteScore 0,5 · %10
    • Original Article

    https://doi.org/10.22436/jnsa.010.04.03

63. Article Blending type approximation by Stancu-Kantorovich operators based on Pólya-Eggenberger distribution

    Kajla Arun, Aracı Serkan

    Published in: Open Physics · 15(1) · pp. 335-343, 2017

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q2
    • CiteScore 3,8 · %68
    • Scopus citations: 6
    • Original Article

    https://doi.org/10.1515/phys-2017-0037

64. Article Modified Stancu operators based on inverse Polya Eggenberger distribution

    Deshwal Sheetal, Agrawal PN, Aracı Serkan

    Published in: Journal of Inequalities and Applications · 2017(1), 2017

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 3,3 · %93
    • Scopus citations: 2
    • Original Article

    https://doi.org/10.1186/s13660-017-1328-9

65. Article On an analogue of Euler polynomials and related to extended fermionic p-adic integrals on Zp

    Qi Feng, Aracı Serkan, Açıkgöz Mehmet

    Published in: Iranian Journal of Science and Technology, Transactions A: Science · 41(2) · pp. 1-10, 2017

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Original Article

66. Article Rate of convergence by Kantorovich-Szász type operators based on Brenke type polynomials

    Garg Tarul, Agrawal PN, Aracı Serkan

    Published in: Journal of Inequalities and Applications · 2017(1), 2017

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 3,3 · %93
    • Scopus citations: 4
    • Original Article

    https://doi.org/10.1186/s13660-017-1430-z

67. Article Szász-Durrmeyer operators involving Boas-Buck polynomials of blending type

    Sidharth Manjari, Agrawal PN, Aracı Serkan

    Published in: Journal of Inequalities and Applications · 2017(1), 2017

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 3,3 · %93
    • Scopus citations: 6
    • Original Article

    https://doi.org/10.1186/s13660-017-1396-x

68. Article A certain (p,q) -derivative operator and associated divided differences

    Aracı Serkan, Duran Uğur, Açıkgöz Mehmet, Srivastava Hari

    Published in: Journal of Inequalities and Applications · 2016(1), 2016

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 3,3 · %93
    • Scopus citations: 72
    • Original Article

    https://doi.org/10.1186/s13660-016-1240-8

69. Article A class of generating functions for a new generalization of Eulerian polynomials with their interpolation functions

    Aracı Serkan, Şen Erdoğan, Açıkgöz Mehmet

    Published in: Filomat · 30(8) · pp. 2269-2275, 2016

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q2
    • CiteScore 1,6 · %69
    • Scopus citations: 1
    • Original Article

    https://doi.org/10.2298/fil1608269a

70. Proceeding A study on some new results arising from (p,q)-calculus

    Duran Uğur, Açıkgöz Mehmet, Aracı Serkan

    Published in: International conference on Recent Advances in Pure and Applied Mathematics · Muğla, Türkiye, 2016

    • International
    • Özet bildiri
    • Sözlü Sunum

71. Proceeding On some polynomials derived from (p,q)-calculus

    Duran Uğur, Açıkgöz Mehmet, Aracı Serkan

    Published in: International conference on Quantum science and applications · Eskişehir, Türkiye, 2016

    • International
    • Özet bildiri
    • Sözlü Sunum

72. Article On the von Staudt-Clausen's theorem related to q-Frobenius Euler numbers

    Aracı Serkan, Açıkgöz Mehmet

    Published in: Journal of Number Theory · 159 · pp. 329-339, 2016

    • International
    • Peer-reviewed
    • SCI
    • Scopus Q3
    • CiteScore 1,4 · %46
    • Scopus citations: 11
    • Original Article

    https://doi.org/10.1016/j.jnt.2015.07.025

73. Article Some new formulas for the products of the Apostol type polynomials

    He Yuan, Aracı Serkan, Srivastava Hari

    Published in: Advances in Difference Equations · 2016(1), 2016

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 16
    • Original Article

    https://doi.org/10.1186/s13662-016-1014-0

74. Article Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis

    Bagdasaryan Armen, Aracı Serkan, Açıkgöz Mehmet, He Yuan

    Published in: Journal of Nonlinear Sciences and Applications · 9(05) · pp. 2697-2704, 2016

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q4
    • CiteScore 0,5 · %10
    • Scopus citations: 3
    • Original Article

    https://doi.org/10.22436/jnsa.009.05.66

75. Article Summation formulas for the products of the Frobenius-Euler polynomials

    He Yuan, Aracı Serkan, Srivastava Hari

    Published in: Ramanujan Journal · 44(1) · pp. 177-195, 2016

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q2
    • CiteScore 1,3 · %59
    • Scopus citations: 4
    • Original Article

    https://doi.org/10.1007/s11139-016-9802-4

76. Article Theorems on q-frobenius-euler polynomials under sym (4)

    Aracı Serkan, Duran Uğur, Açıkgöz Mehmet, Abdel-Aty Mahmoud

    Published in: Utilitas Mathematica · 101 · pp. 129-137, 2016

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q4
    • CiteScore 0,3 · %6
    • Original Article

77. Article A note on the values of weighted q-Bernstein polynomials and weighted q-Genocchi numbers

    Aracı Serkan, Açıkgöz Mehmet

    Published in: Advances in Difference Equations · 2015(1), 2015

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 8
    • Original Article

    https://doi.org/10.1186/s13662-015-0369-y

78. Article An analogue of eulerian polynomials related to L-type function

    Aracı Serkan, Açıkgöz Mehmet, Corcino Roberto, Özel Cenap

    Published in: Maejo International Journal of Science and Technology · 9(2) · pp. 246-254, 2015

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q3
    • CiteScore 0,9 · %30
    • Original Article

    https://doi.org/10.14456/mijst.2015.18

79. Article Analogues of Newton–Girard power-sum formulas for entire and meromorphic functions with applications to the Riemann zeta function

    Bagdasaryan Armen, Aracı Serkan, Açıkgöz Mehmet, Srivastava Hari

    Published in: Journal of Number Theory · 147 · pp. 92-102, 2015

    • International
    • Peer-reviewed
    • SCI
    • Scopus Q3
    • CiteScore 1,4 · %46
    • Scopus citations: 7
    • Original Article

    https://doi.org/10.1016/j.jnt.2014.07.006

80. Article Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials

    Aracı Serkan, Özer Özen

    Published in: Advances in Difference Equations · 2015(1), 2015

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 13
    • Original Article

    https://doi.org/10.1186/s13662-015-0610-8

81. Article On a q-analog of some numbers and polynomials

    Aracı Serkan, Ağyüz Erkan, Açıkgöz Mehmet

    Published in: Journal of Inequalities and Applications · 2015(1), 2015

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 3,3 · %93
    • Scopus citations: 27
    • Original Article

    https://doi.org/10.1186/s13660-014-0542-y

82. Proceeding On the von Staudt-Clausen theorem of q-Frobenius-Euler numbers

    Aracı Serkan, Açıkgöz Mehmet

    Published in: The 28th International Conference of The Jangjeon Mathematical Society · Antalya, Türkiye, 2015

    • International
    • Özet bildiri
    • Sözlü Sunum

83. Article Recent Trends in Special Numbers and Special Functions and Polynomials

    Aracı Serkan, Açıkgöz Mehmet, Özel Cenap, Srivastava Hari, Diagana Toka

    Published in: International Journal of Mathematics and Mathematical Sciences · 2015 · pp. 1, 2015

    • International
    • Non-peer-reviewed
    • SCOPUS
    • Scopus Q3
    • CiteScore 2,3 · %44
    • Scopus citations: 1
    • Letter to the Editor

    https://doi.org/10.1155/2015/573893

84. Article Some new identities for the Apostol–Bernoulli polynomials and the Apostol–Genocchi polynomials

    He Yuan, Aracı Serkan, Srivastava Hari, Açıkgöz Mehmet

    Published in: Applied Mathematics and Computation · 262 · pp. 31-41, 2015

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 7,6 · %92
    • Scopus citations: 65
    • Original Article

    https://doi.org/10.1016/j.amc.2015.03.132

85. Article A New Family of q-analogue of Genocchi Numbers and Polynomials of Higher Order

    Aracı Serkan, Açıkgöz Mehmet, Seo Jong Jin

    Published in: Kyungpook mathematical journal · 54(1) · pp. 131-141, 2014

    • International
    • Peer-reviewed
    • SCOPUS
    • Scopus Q4
    • CiteScore 0,6 · %11
    • Scopus citations: 2
    • Original Article

    https://doi.org/10.5666/kmj.2014.54.1.131

86. Article Asymptotic properties of a new Sturm-Liouville problem with retarded argument

    Şen Erdoğan, Aracı Serkan, Açıkgöz Mehmet

    Published in: Mathematical Methods in the Applied Sciences · 37(17) · pp. 2619-2625, 2014

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 4,2 · %89
    • Scopus citations: 2
    • Original Article

    https://doi.org/10.1002/mma.3002

87. Article Identities involving the (h, q)-Genocchi polynomials and (h,q)-zeta-type function

    Bagdasaryan Armen, Şen Erdoğan, He Yuan, Aracı Serkan, Açıkgöz Mehmet

    Published in: Advanced Studies in Contemporary Mathematics (Kyungshang) · 24(2) · pp. 227-240, 2014

    • International
    • Peer-reviewed
    • SCOPUS
    • Scopus Q2
    • CiteScore 1,5 · %67
    • Original Article

88. Article New Symmetric Identities Involving q-Zeta Type Functions

    Aracı Serkan, Bagdasaryan Armen, Özel Cenap, Srivastava Hari

    Published in: Applied Mathematics Information Sciences · 8(6) · pp. 2803-2808, 2014

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 3,5 · %97
    • Scopus citations: 16
    • Original Article

    https://doi.org/10.12785/amis/080616

89. Article Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus

    Aracı Serkan

    Published in: Applied Mathematics and Computation · 233 · pp. 599-607, 2014

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 7,6 · %92
    • Scopus citations: 90
    • Original Article

    https://doi.org/10.1016/j.amc.2014.01.013

90. Article On the unification of two families of multiple twisted type polynomials by using p-Adic q-integral at q = -1

    Aracı Serkan, Açıkgöz Mehmet, Park KH, Jolany Hassan

    Published in: Bulletin of the Malaysian Mathematical Sciences Society · 37(2) · pp. 543-554, 2014

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q2
    • CiteScore 2,0 · %66
    • Original Article

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91. Article On the von Staudt–Clausen’s theorem associated with q-Genocchi numbers

    Aracı Serkan, Açıkgöz Mehmet, Şen Erdoğan

    Published in: Applied Mathematics and Computation · 247 · pp. 780-785, 2014

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 7,6 · %92
    • Scopus citations: 16
    • Original Article

    https://doi.org/10.1016/j.amc.2014.09.053

92. Article Some New Formulae for Genocchi Numbers and Polynomials Involving Bernoulli and Euler Polynomials

    Aracı Serkan, Açıkgöz Mehmet, Şen Erdoğan

    Published in: International Journal of Mathematics and Mathematical Sciences · 2014 · pp. 1-7, 2014

    • International
    • Peer-reviewed
    • SCOPUS
    • Scopus Q3
    • CiteScore 2,3 · %44
    • Scopus citations: 25
    • Original Article

    https://doi.org/10.1155/2014/760613

93. Article Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials

    He Yuan, Aracı Serkan

    Published in: Advances in Difference Equations · 2014(1), 2014

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q1
    • CiteScore 8,6 · %99
    • Scopus citations: 16
    • Original Article

    https://doi.org/10.1186/1687-1847-2014-155

94. Article Theorems on Genocchi Polynomials of Higher Order Arising from Genocchi Basis

    Aracı Serkan, Şen Erdoğan, Açıkgöz Mehmet

    Published in: Taiwanese Journal of Mathematics · 18(2) · pp. 473-482, 2014

    • International
    • Peer-reviewed
    • SCI
    • Scopus Q2
    • CiteScore 1,3 · %54
    • Scopus citations: 35
    • Original Article

    https://doi.org/10.11650/tjm.18.2014.3006

95. Article On the extended Kimʼs p -adic q-deformed fermionic integrals in the p-adic integer ring

    Aracı Serkan, Açıkgöz Mehmet, Şen Erdoğan

    Published in: Journal of Number Theory · 133, 2013

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q3
    • CiteScore 1,4 · %46
    • Scopus citations: 43
    • Original Article

    https://doi.org/10.1016/j.jnt.2013.04.007

96. Article Novel Identities for q-Genocchi Numbers and Polynomials

    Aracı Serkan

    Published in: Journal of Function Spaces and Applications · 2012, 2012

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus citations: 58
    • Original Article

    https://doi.org/10.1155/2012/214961

97. Article A Study on the fermionic p-adic q-integral representation on associated with weighted q-Bernstein and q-Genocchi polynomials

    Aracı Serkan, Erdal Dilek, Seo Jong Jin

    Published in: Abstract and Applied Analysis · 2011, 2011

    • International
    • Peer-reviewed
    • SCI-Expanded
    • Scopus Q3
    • CiteScore 1,5 · %38
    • Scopus citations: 69
    • Original Article

    https://doi.org/10.1155/2011/649248

98. Proceeding On the Generating Function for Bernstein Polynomials

    Açıkgöz Mehmet, Aracı Serkan

    Published in: International Conference on Numerical Analysis and Applied Mathematics · Rhodes, Yunanistan, 2010

    • International
    • Tam metin bildiri
    • Sözlü Sunum

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99. Proceeding w-Değişkenli fonksiyonlar için q-Bernstein polinomları ve üreteç fonksiyonları

    Açıkgöz Mehmet, Aracı Serkan

    Published in: 5. Ankara Matematik Günleri · Ankara, Türkiye, 2010

    • National
    • Özet bildiri
    • Sözlü Sunum

100. Proceeding Bernoulli ve Bernstein polinomlarının karşılaştırılması üzerine

     Aracı Serkan, Açıkgöz Mehmet

     Published in: XXII. Ulusal Matematik Sempozyumu · İzmir, Türkiye, 2009

     • National
     • Özet bildiri
     • Sözlü Sunum