Continued fraction approximations and inequalities for the gamma function by Burnside
Release Time:2019-03-12 Hits:
Indexed by: Journal Article
Date of Publication: 2017-02-01
Journal: RAMANUJAN JOURNAL
Included Journals: SCIE
Volume: 42
Issue: 2
Page Number: 491-500
ISSN: 1382-4090
Key Words: Stirling's formula; Burnside's formula; Continued fraction; Double inequality; Speed of convergence
Abstract: In this paper, based on the Burnside's formula, some accurate approximation and double inequality for the gamma function are established. Finally, for demonstrating the superiority of our new series over the Burnside's formula and other classical or recently discovered asymptotic series, some numerical computations are provided.