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http://dx.doi.org/10.4134/CKMS.c200172

DEGENERATE POLYEXPONENTIAL FUNCTIONS AND POLY-EULER POLYNOMIALS  

Kurt, Burak (Mathematics of Department Education Faculty Akdeniz University)
Publication Information
Communications of the Korean Mathematical Society / v.36, no.1, 2021 , pp. 19-26 More about this Journal
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;
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