Generalization of Binet's Gamma function formulas

DOI10.1080/10652469.2012.725168zbMath1281.33003OpenAlexW2056048370MaRDI QIDQ2854306

Gergő Nemes

Publication date: 18 October 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.725168

zbMATH Keywords

asymptotic expansionsEuler gamma functionBinet formulas

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (9)

Some new facts concerning the delta neutral case of Fox's \(H\) function ⋮ Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to \(\pi^{-1}\) ⋮ Binet's second formula, Hermite's generalization, and two related identities ⋮ Heavenly metrics, BPS indices and twistors ⋮ An inverse factorial series for a general gamma ratio and related properties of the Nørlund-Bernoulli polynomials ⋮ Three notes on Ser's and Hasse's representations for the zeta-functions ⋮ ON THE ACCURACY OF ASYMPTOTIC APPROXIMATIONS TO THE LOG-GAMMA AND RIEMANN–SIEGEL THETA FUNCTIONS ⋮ A new identity for the sum of products of the generalized hypergeometric functions ⋮ Unnamed Item

Uses Software

• DLMF

Cites Work

• Summation of divergent power series by means of factorial series
• Sur les valeurs asymptotiques des nombres et des polynômes de Bernoulli
• The special functions and their approximations. Vol. I, II
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