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A Kind of New Continued Fraction Approximation of Gamma Function Based on Mortici's Formula

Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2017-11-01

Journal: RESULTS IN MATHEMATICS

Included Journals: Scopus、SCIE

Volume: 72

Issue: 3

Page Number: 1417-1436

ISSN: 1422-6383

Key Words: Gamma function; continued fraction; rate of convergence; exponent; error estimates

Abstract: In this paper, based on Mortici's works, we establish two sharp general continued fraction approximations for the gamma function. Then related inequalities are given. Finally, for demonstrating the superiority of our new estimations and inequalities, we provide some numerical comparisons.

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