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A quicker continued fraction approximation of the gamma function related to the Windschitl's formula

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Indexed by:期刊论文

Date of Publication:2016-08-01

Journal:NUMERICAL ALGORITHMS

Included Journals:SCIE、Scopus

Volume:72

Issue:4

Page Number:865-874

ISSN No.:1017-1398

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

Abstract:In this paper, based on the Windschitl's formula, a new continued fraction approximation and some inequalities for the gamma function are established. Finally, for demonstrating the superiority of our new series over the classical ones, some numerical computations are given.

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