Poly-p-Bernoulli polynomials and generalized Arakawa-Kaneko zeta function

KARGIN L.

LITHUANIAN MATHEMATICAL JOURNAL, vol.60, no.1, pp.29-50, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 60 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.1007/s10986-019-09448-7
  • Journal Name: LITHUANIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, DIALNET
  • Page Numbers: pp.29-50
  • Keywords: poly-Bernoulli polynomials and numbers, poly-p-Bernoulli polynomials and numbers, generalized Arakawa-Kaneko zeta function, CLOSED FORMULA, NUMBERS, SERIES, VALUES, SUMS
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, we first obtain several properties of poly-p-Bernoulli polynomials. In particular, we achieve some new results for poly-Bernoulli polynomials. We next define a generalization of the Arakawa-Kaneko zeta function associated with poly-p-Bernoulli polynomials, investigate some its particular values, and give asymptotic and series expansions.