Degenerate polyexponential functions and poly-Euler polynomials
Commun. Korean Math. Soc. 2021 Vol. 36, No. 1, 19-26
Published online September 11, 2020
Printed January 31, 2021
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, modified degenerate poly-Genocchi polynomials
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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