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Indexed by:期刊论文

Date of Publication:2014-07-01

Journal:JOURNAL OF NUMBER THEORY

Included Journals:SCIE

Volume:140

Page Number:215-225

ISSN No.:0022-314X

Key Words:Windschitl's formula; Inequalities; Rate of convergence; Stirling's formula; Factorial function; Gamma function; Continued fractions

Abstract:In this paper, based on Windschitl's formula, a generated approximation of the factorial function and some inequalities for the gamma function are established. Finally, for demonstrating the superiority of our new series over Windschitl's formula, Nemes' formula and three Mortici's formulas, some numerical computations are given. (C) 2014 Elsevier Inc. All rights reserved.