English

Convolution identities of poly-Cauchy numbers with level $2$

Number Theory 2020-03-31 v1

Abstract

Poly-Cauchy numbers with level 22 are defined by inverse sine hyperbolic functions with the inverse relation from sine hyperbolic functions. In this paper, we show several convolution identities of poly-Cauchy numbers with level 22. In particular, that of three poly-Cauchy numbers with level 22 can be expressed as a simple form. In the sequel, we introduce the Stirling numbers of the first kind with level 22

Keywords

Cite

@article{arxiv.2003.12926,
  title  = {Convolution identities of poly-Cauchy numbers with level $2$},
  author = {Takao Komatsu},
  journal= {arXiv preprint arXiv:2003.12926},
  year   = {2020}
}
R2 v1 2026-06-23T14:30:35.916Z