Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2021; 36(1): 19-26

Online first article September 11, 2020      Printed January 31, 2021

https://doi.org/10.4134/CKMS.c200172

Copyright © The Korean Mathematical Society.

Degenerate polyexponential functions and poly-Euler polynomials

Burak Kurt

Akdeniz University

Abstract

Degenerate versions of the special polynomials and numbers since they have many applications in analytic number theory, combinatorial analysis and $p$ -adic analysis. In this paper, we define the degenerate poly-Euler numbers and polynomials arising from the modified polyexponential functions. We derive explicit relations for these numbers and polynomials. Also, we obtain some identities involving these polynomials and some other special numbers and polynomials.

Keywords: Bernoulli, Euler and Genocchi polynomials and numbers, the gegenerate Stirling numbers of both kind, degenerate Bernoulli, degenerate Euler and degenerate Genocchi polynomials, polyexponential functions, modified degenerate poly-Bernoulli polynomials, mod

MSC numbers: Primary 11B68, 11B73, 11B83, 05A19

Supported by: The present investigation was supported by the Scientific Research Project Administration of the University of Akdeniz.

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