Recursion formulas for poly-Bernoulli numbers and their applications

Yasuo Ohno, Yoshitaka Sasaki

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)175-189
Number of pages15
JournalInternational Journal of Number Theory
Volume17
Issue number1
DOIs
Publication statusPublished - 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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