DEGENERATE POLYEXPONENTIAL FUNCTIONS AND POLY-EULER POLYNOMIALS

KURT B.

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, cilt.36, sa.1, ss.19-26, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.4134/ckms.c200172
  • Dergi Adı: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.19-26
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Evet

Özet

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.