Generalizations of two infinite product formulas

Chao-Ping Chen; Richard B. Paris

doi:10.1080/10652469.2014.885965

Generalizations of two infinite product formulas

Chao-Ping Chen
, Richard B. Paris

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Two interesting infinite product formulas were presented by Choi, Lee and Srivastava [A generalization of Wilf's formula. Kodai Math J. 2003;26:44–48], who generalized an infinite product formula posed by Wilf as a problem in American Mathematical Monthly, 1997. Chen and Choi established in 2013 two infinite product formulas, expressed in terms of the gamma function, whose special cases contain the above generalized infinite product formulas. In this paper, we generalize Chen and Choi's results.

Original language	English
Pages (from-to)	547-551
Number of pages	5
Journal	Integral Transforms and Special Functions
Volume	25
Issue number	7
Early online date	28 Feb 2014
DOIs	https://doi.org/10.1080/10652469.2014.885965
Publication status	Published - 2014

Keywords

Infinite product formula
Euler-Mascheorni constant
Gamma function

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abstract = "Two interesting infinite product formulas were presented by Choi, Lee and Srivastava [A generalization of Wilf's formula. Kodai Math J. 2003;26:44–48], who generalized an infinite product formula posed by Wilf as a problem in American Mathematical Monthly, 1997. Chen and Choi established in 2013 two infinite product formulas, expressed in terms of the gamma function, whose special cases contain the above generalized infinite product formulas. In this paper, we generalize Chen and Choi's results.",

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AB - Two interesting infinite product formulas were presented by Choi, Lee and Srivastava [A generalization of Wilf's formula. Kodai Math J. 2003;26:44–48], who generalized an infinite product formula posed by Wilf as a problem in American Mathematical Monthly, 1997. Chen and Choi established in 2013 two infinite product formulas, expressed in terms of the gamma function, whose special cases contain the above generalized infinite product formulas. In this paper, we generalize Chen and Choi's results.

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DO - 10.1080/10652469.2014.885965

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JO - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

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Generalizations of two infinite product formulas

Abstract

Keywords

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