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A new sharp approximation for the Gamma function related to Burnside's formula

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Indexed by:期刊论文

Date of Publication:2014-10-01

Journal:RAMANUJAN JOURNAL

Included Journals:SCIE、Scopus

Volume:35

Issue:1

Page Number:121-129

ISSN No.:1382-4090

Key Words:Stirling's formula; Burnside's formula; Continued fraction

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

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