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Two asymptotic expansions for gamma function developed by Windschitl’s formula

Authors :
Yang Zhen-Hang
Tian Jing-Feng
Source :
Open Mathematics, Vol 16, Iss 1, Pp 1048-1060 (2018)
Publication Year :
2018
Publisher :
De Gruyter, 2018.

Abstract

In this paper we develop Windschitl’s approximation formula for the gamma function by giving two asymptotic expansions using a little known power series. In particular, for n ∈ ℕ with n ≥ 4, we have

Details

Language :
English
ISSN :
23915455
Volume :
16
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Open Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.9af12ac546374d7e827f369a9c718ac1
Document Type :
article
Full Text :
https://doi.org/10.1515/math-2018-0088