Identities involving some special numbers and polynomials on p-adic integral

Neşe Ömür, Sibel Koparal, Ömer Duran and Kübra Nur Südemen
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 28, 2022, Number 3, Pages 564–574
DOI: 10.7546/nntdm.2022.28.3.564-574
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Authors and affiliations

Neşe Ömür
Department of Bioinformatics and Mathematical Modelling,
Department of Mathematics, University of Kocaeli
41380 Izmit, Kocaeli, Turkey

Sibel Koparal
Department of Bioinformatics and Mathematical Modelling,
Department of Mathematics, University of Kocaeli
41380 Izmit, Kocaeli, Turkey

Ömer Duran
Department of Bioinformatics and Mathematical Modelling,
Department of Mathematics, University of Kocaeli
41380 Izmit, Kocaeli, Turkey

Kübra Nur Südemen
Department of Bioinformatics and Mathematical Modelling,
Department of Mathematics, University of Kocaeli
41380 Izmit, Kocaeli, Turkey

Abstract

In this paper, we get new identities involving Bernoulli, Daehee and Stirling numbers, and their representations by using p-adic integrals and combinatorial techniques.

Keywords

  • p-adic integral
  • q-Bernoulli numbers
  • Generating functions

2020 Mathematics Subject Classification

  • 05A15
  • 11S80
  • 11B68

References

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Manuscript history

  • Received: 16 March 2022
  • Revised: 5 August 2022
  • Accepted: 14 September 2022
  • Online First: 27 September 2022

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Cite this paper

Ömür, N., Koparal, S., Duran, Ö. & Südemen, K. N. (2022). Identities involving some special numbers and polynomials on p-adic integral. Notes on Number Theory and Discrete Mathematics, 28(3), 564-574, DOI: 10.7546/nntdm.2022.28.3.564-574.

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