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New Asymptotic Formulas and Inequalities for the Gamma Function Based on Continued Fractions

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Indexed by:期刊论文

Date of Publication:2018-03-01

Journal:RESULTS IN MATHEMATICS

Included Journals:SCIE

Volume:73

Issue:1

ISSN No.:1422-6383

Key Words:Gamma function; continued fraction; rate of convergence; inequalities

Abstract:In this paper, based on continued fractions, we provide two faster asymptotic formulas of the gamma function compared with former achievements. Then, we present some relevant inequalities. Finally, in order to demonstrate that our new asymptotic formulas have superiority, some numerical computations are also given.

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