Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2018-05-01

Journal: RAMANUJAN JOURNAL

Included Journals: Scopus、SCIE

Volume: 46

Issue: 1

Page Number: 119-125

ISSN: 1382-4090

Key Words: Continued fraction; Approximation; Rate of convergence; Inequalities; Gamma function

Abstract: The main objective of this paper is to propose a product approximation for the Gamma function in the form of continued fraction, via the Tri-gamma function. The importance of this new formula is that the convergence of the corresponding asymptotic series is faster than other recently discovered asymptotic series, and some new inequalities related to the new formula are also established.