Completely monotonic functions and inequalities associated to some, ratio of gamma function
Release Time:2019-03-09 Hits:
Indexed by: Journal Article
Date of Publication: 2014-08-01
Journal: APPLIED MATHEMATICS AND COMPUTATION
Included Journals: Scopus、EI、SCIE
Volume: 240
Page Number: 168-174
ISSN: 0096-3003
Key Words: Gamma function; Wallis ratio; Inequalities; Approximations; Asymptotic series; Complete monotonicity
Abstract: Motivated by the work of Chen and Qi (2005) [3] we study the products Pi(pi)(k=1) 3k-2/3k and Pi(pi)(k=1) 3k-1/3k. We prove that some functions associated to the previous products are completely monotonic and we establish some sharp inequalities. (C) 2014 Elsevier Inc. All rights reserved.