Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-03-01

Journal: JOURNAL OF NUMBER THEORY

Included Journals: Scopus、SCIE

Volume: 136

Page Number: 414-422

ISSN: 0022-314X

Key Words: Burnside formula; Stirling formula; Rate of convergence

Abstract: In this paper, based on Burnside's formula, a generated approximation of the factorial function and an inequality for the gamma function are established. Finally, for demonstrating the superiority of our new series over Burnside's formula and the classical Stirling's series, some numerical computations are given. (C) 2013 Elsevier Inc. All rights reserved.