Recursion formulas for poly-Bernoulli numbers and their applications

Yasuo Ohno; Yoshitaka Sasaki

doi:10.1142/S1793042121500081

Recursion formulas for poly-Bernoulli numbers and their applications

Yasuo Ohno, Yoshitaka Sasaki

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Recurrence formulas for generalized poly-Bernoulli polynomials are given. The formula gives a positive answer to a question raised by Kaneko. Further, as applications, annihilation formulas for Arakawa-Kaneko type zeta-functions and a counting formula for lonesum matrices of a certain type are also discussed.

Original language	English
Pages (from-to)	175-189
Number of pages	15
Journal	International Journal of Number Theory
Volume	17
Issue number	1
DOIs	https://doi.org/10.1142/S1793042121500081
Publication status	Published - 2021 Feb

Keywords

Arakawa-Kaneko type zeta-functions
Lonesum matrices
Poly-Bernoulli numbers
Poly-Bernoulli polynomials

ASJC Scopus subject areas

Algebra and Number Theory

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abstract = "Recurrence formulas for generalized poly-Bernoulli polynomials are given. The formula gives a positive answer to a question raised by Kaneko. Further, as applications, annihilation formulas for Arakawa-Kaneko type zeta-functions and a counting formula for lonesum matrices of a certain type are also discussed.",

keywords = "Arakawa-Kaneko type zeta-functions, Lonesum matrices, Poly-Bernoulli numbers, Poly-Bernoulli polynomials",

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