Some new asymptotic approximations of the gamma function based on Nemes' formula, Ramanujan's formula and Burnside's formula
Release Time:2019-03-09 Hits:
Indexed by: Journal Article
Date of Publication: 2015-02-15
Journal: APPLIED MATHEMATICS AND COMPUTATION
Included Journals: EI、SCIE
Volume: 253
Page Number: 1-7
ISSN: 0096-3003
Key Words: Gamma function; Nemes' formula; Ramanujan's formula; Burnside's formula; Asymptotic approximations; Rate of convergence
Abstract: In this paper, we construct some new approximations of the gamma function based on Nemes' formula, Ramanujan's formula and Burnside's formula. Using these approximations, some inequalities are established. Finally, for demonstrating the superiority of our new approximation over Mortici's formula and other classical ones, some numerical computations are also given. (C) 2014 Elsevier Inc. All rights reserved.