A Generalization of Poly-Cauchy Numbers and Their Properties | Zendy

Takao Komatsu | Zendy; Vichian Laohakosol | Zendy; Kálmán Liptai | Zendy

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A Generalization of Poly-Cauchy Numbers and Their Properties

Author(s) -

Takao Komatsu,

Vichian Laohakosol,

Kálmán Liptai

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/179841

Subject(s) - mathematics , bernoulli number , cauchy distribution , generalization , bernoulli's principle , cauchy sequence , arithmetic function , real number , combinatorics , pure mathematics , discrete mathematics , mathematical analysis , engineering , aerospace engineering

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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