Some new properties of the Barnes G-function and related results | Zendy

Chao-Ping Chen | Zendy; H. M. Srivastava | Zendy

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Some new properties of the Barnes G-function and related results

Author(s) -

Chao-Ping Chen,

H. M. Srivastava

Publication year - 2020

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm200424056c

Subject(s) - mathematics , monotonic function , constant (computer programming) , fraction (chemistry) , function (biology) , representation (politics) , pure mathematics , mathematical analysis , chemistry , organic chemistry , evolutionary biology , politics , computer science , political science , law , biology , programming language

In this paper, we present several potentially useful properties of the Barnes G-function. The properties considered here include, for example, its integral representation, complete monotonicity, and continued-fraction approximation. We also derive continued-fraction approximations of the Glaisher-Kinkelin constant and the Choi-Srivastava constants.

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