Abstract
Many researchers have investigated sums of products of Bernoulli numbers and related types of sums of products. Recently, the concept of poly-Cauchy numbers has been introduced by the author as a generalization of the classical Cauchy number. In this paper, we investigate sums of products of Cauchy numbers including generalized poly-Cauchy numbers. We give a relation among these sums and explicit expressions of sums of any arbitrary products. In addition, we also show the similar results in the case of poly-Cauchy numbers of the second kind and those of mixed ones of both kinds.
Citation
Takao KOMATSU. "Sums of Products of Cauchy Numbers, Including Generalized Poly-Cauchy Numbers." Tokyo J. Math. 38 (1) 45 - 74, June 2015. https://doi.org/10.3836/tjm/1428412564
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