DEGENERATE POLYEXPONENTIAL FUNCTIONS AND POLY-EULER POLYNOMIALS
Commun. Korean Math. Soc.
Published online September 11, 2020
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 de fine the degenerate poly-Euler numbers and polynomials arising from the modifi ed 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 Degenerate Stirling numbers of both kind, Degenerate Bernoulli, degenerate Euler and degenerate Genocchi polynomials, Polyexponential functions, Modified degenerate poly-Bernoulli polynomial
MSC numbers : 11B68, 11B73, 11B83, 05A19.
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