Unified treatment of several asymptotic formulas for the gamma function
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Publication:372854
DOI10.1007/s11075-012-9667-6zbMath1280.33003OpenAlexW2102417950MaRDI QIDQ372854
Publication date: 21 October 2013
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-012-9667-6
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A more accurate approximation for the gamma function ⋮ Windschitl type approximation formulas for the gamma function ⋮ Asymptotic expansions of the gamma function related to Windschitl's formula ⋮ Inequalities and asymptotic expansions associated with the Ramanujan and nemes formulas for the gamma function ⋮ Asymptotic expansions for the psi function and the Euler-Mascheroni constant ⋮ Some asymptotic expansions on hyperfactorial functions and generalized Glaisher-Kinkelin constants ⋮ Sharp inequalities and asymptotic expansions for the gamma function ⋮ Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function ⋮ Revisiting the saddle-point method of Perron ⋮ Asymptotic expansions related to hyperfactorial function and Glaisher-Kinkelin constant ⋮ Monotonicity properties, inequalities and asymptotic expansions associated with the gamma function ⋮ Two asymptotic expansions for gamma function developed by Windschitl's formula ⋮ On the asymptotic expansions of the gamma function related to the Nemes, Gosper and Burnside formulas ⋮ Padé approximant related to Ramanujan's formula for the gamma function ⋮ Padé approximant related to asymptotics for the gamma function ⋮ Asymptotic expansions for the reciprocal of the gamma function ⋮ Inequalities and asymptotic expansions for the gamma function ⋮ Unified approaches to the approximations of the gamma function ⋮ Asymptotic expansions for the gamma function ⋮ Asymptotic expansions for the gamma function in terms of hyperbolic functions ⋮ New inequalities for gamma and digamma functions ⋮ Improvements of asymptotic approximation formulas for the factorial function
Cites Work
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