Glasnik matematički, Vol. 48 No. 2, 2013.
Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
Arakawa-Kaneko zeta function; Bernoulli numbers and polynomials; poly-Bernoulli numbers and polynomials
Hrčak ID:
112207
URI
Datum izdavanja:
16.12.2013.
Posjeta: 871 *