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Research Article

Analysis of the p-adic q-Volkenborn integrals: An approach to generalized Apostol-type special numbers and polynomials and their applications

Yilmaz SimsekFaculty of Science, Department of Mathematics, University of Akdeniz, TR-07058Antalya,TurkeyCorrespondence[email protected]

https://orcid.org/0000-0002-0611-7141 View further author information

Hari M. SrivastavaUniversity of Victoria, CanadaView further author information

(Reviewing Editor)

Article: 1269393 | Received 20 Oct 2016, Accepted 29 Nov 2016, Published online: 02 Jan 2017

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https://doi.org/10.1080/23311835.2016.1269393
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Dongkyu Lim. (2022) Radon-Nikodym Theorem with Respect to $$(\rho,q)$$-Measure on $$\Bbb Z_p$$. p-Adic Numbers, Ultrametric Analysis and Applications 14:4, pages 297-304.
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Waseem Ahmad Khan, Maryam Salem Alatawi & Ugur Duran. (2022) A Note on Degenerate Catalan-Daehee Numbers and Polynomials. Symmetry 14:10, pages 2169.
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Waseem A. Khan. (2022) A Note on -Analogues of Degenerate Catalan-Daehee Numbers and Polynomials . Journal of Mathematics 2022, pages 1-9.
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Yuankui Ma, Taekyun Kim, Dae KimSanSan & Hyunseok Lee. (2022) A study on q-analogues of Catalan-Daehee numbers and polynomials. Filomat 36:5, pages 1499-1506.
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Yilmaz Simsek. 2022. Approximation and Computation in Science and Engineering. Approximation and Computation in Science and Engineering 783 860 .

Dongkyu Lim. (2021) Some Identities on the Twisted q-Analogues of Catalan-Daehee Numbers and Polynomials. Axioms 11:1, pages 9.
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Irem KUCUKOGLU. (2021) Implementation of computation formulas for certain classes of Apostol-type polynomials and some properties associated with these polynomials. Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 70:1, pages 426-442.
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Yilmaz Simsek & Irem Kucukoglu. 2021. Mathematical Analysis in Interdisciplinary Research. Mathematical Analysis in Interdisciplinary Research 795 857 .

Yilmaz Simsek. 2021. Approximation Theory and Analytic Inequalities. Approximation Theory and Analytic Inequalities 435 486 .

Ji Suk So & Yilmaz Simsek. (2020) Derivation of computational formulas for Changhee polynomials and their functional and differential equations. Journal of Inequalities and Applications 2020:1.
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Daeyeoul Kim, Yilmaz Simsek & Ji Suk So. (2019) Identities and Computation Formulas for Combinatorial Numbers Including Negative Order Changhee Polynomials. Symmetry 12:1, pages 9.
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Yilmaz Simsek & Ji Suk So. (2019) Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series. Journal of Inequalities and Applications 2019:1.
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Jeong Gon Lee, Won Joo Kim, Lee-Chae Jang & Byung Moon Kim. (2019) A note on modified degenerate q-Daehee polynomials and numbers. Journal of Inequalities and Applications 2019:1.
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Yilmaz Simsek. (2019) Peters type polynomials and numbers and their generating functions: Approach with p ‐adic integral method . Mathematical Methods in the Applied Sciences 42:18, pages 7030-7046.
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Dongkyu Lim. (2018) Some identities for Carlitz type q-Daehee polynomials. The Ramanujan Journal 50:1, pages 195-209.
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Yilmaz Simsek & Ji So. (2019) On Generating Functions for Boole Type Polynomials and Numbers of Higher Order and Their Applications. Symmetry 11:3, pages 352.
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Irem Kucukoglu. Derivative formulas related to unification of generating functions for Sheffer type sequences. Derivative formulas related to unification of generating functions for Sheffer type sequences.

Ahmet Yardimci. A note on Korobov type polynomials associated with molecular dynamic model. A note on Korobov type polynomials associated with molecular dynamic model.

Yilmaz Simsek & Daeyeoul Kim. (2018) Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions. Journal of Inequalities and Applications 2018:1.
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Daeyeoul Kim, Hacer Ozden Ayna, Yilmaz Simsek & Ahmet Yardimci. (2017) New families of special numbers and polynomials arising from applications of p-adic q-integrals. Advances in Difference Equations 2017:1.
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Analysis of the p-adic q-Volkenborn integrals: An approach to generalized Apostol-type special numbers and polynomials and their applications

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Analysis of the p-adic q-Volkenborn integrals: An approach to generalized Apostol-type special numbers and polynomials and their applications

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