Recurrence relations of poly-Cauchy numbers by the $r$-Stirling transform
Number Theory
2021-06-23 v2
Abstract
We give some formulas of poly-Cauchy numbers by the -Stirling transform. In the case of the classical or poly-Bernoulli numbers, the formulas are with Stirling numbers of the first kind. In our case of the classical or poly-Cauchy numbers, the formulas are with Stirling numbers of the second kind. We also discuss annihilation formulas for poly-Cauchy number with negative indices.
Keywords
Cite
@article{arxiv.2103.15291,
title = {Recurrence relations of poly-Cauchy numbers by the $r$-Stirling transform},
author = {Takao Komatsu},
journal= {arXiv preprint arXiv:2103.15291},
year = {2021}
}
Comments
Mediterr. J. Math.(2022)