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Indexed by:期刊论文

Date of Publication:2014-12-01

Journal:JOURNAL OF NUMBER THEORY

Included Journals:SCIE

Volume:145

Page Number:317-328

ISSN No.:0022-314X

Key Words:Burnside's formula; Stirling's formula; Continued fraction; Factorial function; Rate of convergence

Abstract:In this paper, based on the Burnside's formula and our early works, a general continued fraction approximation 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's formula and our early formulas, some numerical computations are given. (C) 2014 Elsevier Inc. All rights reserved.