Original scientific paper

https://doi.org/10.3336/gm.48.2.03

The Arakawa-Kaneko zeta function and poly-Bernoulli polynomials

Yoshinori Hamahata ; Institute for Teaching and Learning, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu, Shiga 525-8577, Japan

Abstract

The purpose of this paper is to introduce a generalization of the Arakawa-Kaneko zeta function and investigate their special values at negative integers. The special values are written as the sums of products of Bernoulli and poly-Bernoulli polynomials. We establish the basic properties for this zeta function and their special values.

Keywords

Arakawa-Kaneko zeta function; Bernoulli numbers and polynomials; poly-Bernoulli numbers and polynomials

Hrčak ID:

112207

URI

https://hrcak.srce.hr/112207

Publication date:

16.12.2013.

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