Current position: Home >> Scientific Research >> Paper Publications

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

Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-08-01

Journal: NUMERICAL ALGORITHMS

Included Journals: Scopus、SCIE

Volume: 72

Issue: 4

Page Number: 865-874

ISSN: 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.

Prev One:Some Quicker Approximations and Inequalities of the Wallis Ratio by Continued Fraction

Next One:Some asymptotic results of the ruin probabilities in a two-dimensional renewal risk model with some strongly subexponential claims