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A quicker approximation of the gamma function towards the Windschitl's formula by continued fraction

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Indexed by:期刊论文

First Author:Wang, Hongzeng

Correspondence Author:Zhang, QL (reprint author), Northeastern Univ, Dept Math, Shenyang 110819, Liaoning, Peoples R China.

Co-author:Zhang, Qingling,Lu, Dawei

Date of Publication:2019-01-01

Journal:RAMANUJAN JOURNAL

Included Journals:SCIE、Scopus

Volume:48

Issue:1

Page Number:75-90

ISSN No.:1382-4090

Key Words:Stirling's formula; Windschitl's formula; Continued fraction; Gamma function

Abstract:In this paper, we establish a quicker approximation with continued fraction and some inequalities for the gamma function based on Windschitl's formula. We also give some numerical computations to demonstrate the superiority of our new approximation over the classical ones.

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