Efficient approximations of the gamma function and further properties

DOI10.1007/S40314-015-0252-1zbMath1359.33002OpenAlexW747696454MaRDI QIDQ520320

Sorinel Dumitrescu, Cristinel Mortici

Publication date: 3 April 2017

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-015-0252-1

zbMATH Keywords

gamma functioninequalitieserror estimatesapproximationsasymptotic seriesdigamma functioncomplete monotonicityspeed of convergence

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities for sums, series and integrals (26D15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (3)

A kind of new continued fraction approximation of gamma function based on Mortici's formula ⋮ New asymptotic formulas and inequalities for the gamma function based on continued fractions ⋮ Interpolation on Gauss hypergeometric functions with an application

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