A Generalization of Poly-Cauchy Numbers and Their Properties

Takao Komatsu, Vichian Laohakosol and Kálmán Liptai

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

In Komatsu's work (2013), the concept of poly-Cauchy numbers is introduced as an analogue of that of poly-Bernoulli numbers. Both numbers are extensions of classical Cauchy numbers and Bernoulli numbers, respectively. There are several generalizations of poly-Cauchy numbers, including poly-Cauchy numbers with a q parameter and shifted poly-Cauchy numbers. In this paper, we give a further generalization of poly-Cauchy numbers and investigate several arithmetical properties. We also give the corresponding generalized poly-Bernoulli numbers so that both numbers have some relations.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:179841

DOI: 10.1155/2013/179841

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