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

article

Xue-Feng Han¹  Chao-Ping Chen¹  Hari 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;Section of Mathematics, International Telematic University Uninettuno

关键词: Wallis' sequence;    Asymptotic expansion;    Glaisher-Kinkelin constant;    Generalized Glaisher-Kinkelin constant;    Barnes G-function;    Choi-Srivastava constants;    Stirling's formula;    Riemann zeta function;    Euler-Maclaurin summation formula;   

DOI  :  10.2298/AADM220414024H

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 】

Without using the Bernoulli numbersBn, the authors present several asymptotic expansions and a recurrence relation for determining the coefficients of each asymptotic expansion related tothe Wallis sequence Wn and the newly-introduced constants D and E, whichare analogous to the Glaisher-Kinkelin constant A and the Choi-Srivastavaconstants B and C.

【 授权许可】

Unknown