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 |
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Pages (from-to) | 175-189 |
Number of pages | 15 |
Journal | International Journal of Number Theory |
Volume | 17 |
Issue number | 1 |
DOIs | |
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