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

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

2 Citations (Scopus)

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
Externally published	Yes

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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10.1142/S1793042121500081

Cite this

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title = "Recursion formulas for poly-Bernoulli numbers and their applications",

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",

author = "Yasuo Ohno and Yoshitaka Sasaki",

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AU - Sasaki, Yoshitaka

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AB - 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.

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KW - Lonesum matrices

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KW - Poly-Bernoulli polynomials

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Recursion formulas for poly-Bernoulli numbers and their applications

Abstract

Keywords

ASJC Scopus subject areas

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