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Indexed by:期刊论文

Date of Publication:2015-02-15

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:SCIE、EI

Volume:253

Page Number:1-7

ISSN No.: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.