An accurate approximation formula for gamma function
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Publication:824475
DOI10.1186/s13660-018-1646-6zbMath1497.33002arXiv1712.08051OpenAlexW2963715022WikidataQ55437177 ScholiaQ55437177MaRDI QIDQ824475
Zhen-Hang Yang, Jing-Feng Tian
Publication date: 15 December 2021
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.08051
Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by polynomials (41A10)
Related Items (10)
Windschitl type approximation formulas for the gamma function ⋮ Monotonicity rules for the ratio of two Laplace transforms with applications ⋮ A family of Windschitl type approximations for gamma function ⋮ A sharp lower bound for the complete elliptic integrals of the first kind ⋮ Bounds for the perimeter of an ellipse in terms of power means ⋮ Two asymptotic expansions for gamma function developed by Windschitl's formula ⋮ A comparison theorem for two divided differences and applications to special functions ⋮ Extensions and demonstrations of Hölder's inequality ⋮ On Burnside type approximation for the gamma function ⋮ Monotonicity, convexity, and complete monotonicity of two functions related to the gamma function
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