Open AccessSome new properties of the Barnes G-function and related results
Author(s) -
Chao-Ping Chen,
H. M. Srivástava
Publication year - 2021
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.