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Indexed by:期刊论文

First Author:Lu, Dawei

Correspondence Author:Song, LX (reprint author), Dalian Univ Technol, Sch Math Sci, Dalian 116023, Peoples R China.

Co-author:Wang, Xiaoguang,Song, Lixin,Xu, Huiyuan

Date of Publication:2018-05-01

Journal:RAMANUJAN JOURNAL

Included Journals:SCIE、Scopus

Volume:46

Issue:1

Page Number:119-125

ISSN No.: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.