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.
Citation
Takao Komatsu. Vichian Laohakosol. Kálmán Liptai. "A Generalization of Poly-Cauchy Numbers and Their Properties." Abstr. Appl. Anal. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/179841
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