A general asymptotic formula of the gamma function based on the Burnside's formula
Release Time:2019-03-09 Hits:
Indexed by: Journal Article
Date of Publication: 2014-12-01
Journal: JOURNAL OF NUMBER THEORY
Included Journals: SCIE
Volume: 145
Page Number: 317-328
ISSN: 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.