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Continued fraction approximations and inequalities for the gamma function by Burnside

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Indexed by:期刊论文

Date of Publication:2017-02-01

Journal:RAMANUJAN JOURNAL

Included Journals:SCIE

Volume:42

Issue:2

Page Number:491-500

ISSN No.:1382-4090

Key Words:Stirling's formula; Burnside's formula; Continued fraction; Double inequality; Speed of convergence

Abstract:In this paper, based on the Burnside's formula, some accurate approximation and double inequality for the gamma function are established. Finally, for demonstrating the superiority of our new series over the Burnside's formula and other classical or recently discovered asymptotic series, some numerical computations are provided.

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