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Indexed by:Journal Papers

Date of Publication:2015-12-01

Journal:NUMERICAL ALGORITHMS

Included Journals:SCIE、Scopus

Volume:70

Issue:4

Page Number:825-833

ISSN No.:1017-1398

Key Words:Nemes' formula; Stirling's formula; Continued fraction; Rate of convergence

Abstract:In this paper, based on Nemes' formula, we construct a new quicker continued fraction approximation of the gamma function. Some inequalities are established. Finally, for demonstrating the superiority of our new series over the Nemes' formula, the Gosper's formula, the Windschitl's formula, the Stielties' formula and the Striling's formula, some numerical computations are given.