二阶多柯西数的卷积恒等式

Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2020-03-29 DOI:10.4171/rsmup/106

T. Komatsu

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引用次数: 2

摘要

层次$2$的多柯西数由反正弦双曲函数定义，与正弦双曲函数具有反比关系。本文给出了阶数为$2的聚柯西数的几个卷积恒等式。特别地，三个阶$2的聚柯西数的阶$可表示为一种简单的形式。在续文中，我们引入了第一类具有$2阶的Stirling数

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Convolution identities of poly-Cauchy numbers with level 2

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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Rendiconti del Seminario Matematico della Università di Padova

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