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2013 A Generalization of Poly-Cauchy Numbers and Their Properties
Takao Komatsu, Vichian Laohakosol, Kálmán Liptai
Abstr. Appl. Anal. 2013: 1-8 (2013). DOI: 10.1155/2013/179841


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.


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Takao Komatsu. Vichian Laohakosol. Kálmán Liptai. "A Generalization of Poly-Cauchy Numbers and Their Properties." Abstr. Appl. Anal. 2013 1 - 8, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1295.11025
MathSciNet: MR3139435
Digital Object Identifier: 10.1155/2013/179841

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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