SOME NEW PROPERTIES OF THE BARNES G-FUNCTION AND RELATED RESULTS

Applicable Analysis and Discrete Mathematics

article

Chao-Ping Chen¹  H. M. Srivastava² 

[1] School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City 454000, Henan Province;Department of Mathematics and Statistics, University of Victoria;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics and Informatics, Azerbaijan University

关键词: Barnes G-function;    Glaisher-Kinkelin constant;    Choi-Srivastava constants;    Completely monotonic functions;    Continued-fraction approximation;    Bernoulli numbers;    Generalized Bernoulli polynomials;   

DOI  :  10.2298/AADM200424056C

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

In this paper, we present several potentially useful properties of the BarnesG-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 GlaisherKinkelin constant and the Choi-Srivastava constants.

【 授权许可】

Unknown