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

Takao Komatsu

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arXiv · 2003.12926

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

Takao Komatsu

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Abstract

Poly-Cauchy numbers with level $2$ 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 $2$. In particular, that of three poly-Cauchy numbers with level $2$ can be expressed as a simple form. In the sequel, we introduce the Stirling numbers of the first kind with level $2$

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Takao Komatsu. 2020-03-29. Convolution identities of poly-Cauchy numbers with level $2$. https://arxiv.org/abs/2003.12926

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