DEGENERATE POLYEXPONENTIAL FUNCTIONS AND POLY-EULER POLYNOMIALS

KURT B.

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, vol.36, no.1, pp.19-26, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.4134/ckms.c200172
  • Journal Name: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Page Numbers: pp.19-26
  • 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
  • Akdeniz University Affiliated: Yes

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.