Some new properties of the Barnes G-function and related results-Reference-Cited by-同舟云学术

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

Published:2021 Issue:1 Volume:15 Page:129-150
ISSN:1452-8630
Container-title:Applicable Analysis and Discrete Mathematics
language:en
Short-container-title:APPL ANAL DISCRETE M

Author:

Chen Chao-Ping¹,Srivastava H.M.²

Affiliation:

1. School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, China

2. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia VW R, Canada + Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan, Republic of China + Department of Mathematics and Informatics, Azerbaijan University, Jeyhun Hajibeyli Street, AZ Baku, Azerbaijan

Abstract

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.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

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1. ASYMPTOTIC EXPANSIONS AND COMPLETE MONOTONICITY PROPERTIES FOR THE BARNES G-FUNCTION;Rocky Mountain Journal of Mathematics;2023-06-01

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3. Asymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constants;Applicable Analysis and Discrete Mathematics;2022