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

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doi:10.1007/s10986-019-09448-7

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

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

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.