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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:314-323

ISSN No.:0022-314X

Key Words:Gamma function; Continued fraction; Inequalities; Burnside formula

Abstract:In this paper, based on the Burnside formula, an asymptotic expansion of the factorial function and some inequalities for the gamma function are established. Finally, for demonstrating the superiority of our new series over the Burnside formula, the classical Stirling series and the Mortici sequences, some numerical computations are given. (C) 2014 Elsevier Inc. All rights reserved.