A new asymptotic series for the gamma function
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Publication:2497545
DOI10.1016/j.cam.2005.03.081zbMath1098.33002OpenAlexW2123945529MaRDI QIDQ2497545
Minghan Hu, Feng-Shan Liu, Xi-Quan Shi
Publication date: 4 August 2006
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2005.03.081
Related Items (20)
Windschitl type approximation formulas for the gamma function ⋮ Complete characterizations of the gamma function ⋮ On Stirling's formula remainder ⋮ A combinatorial identity involving gamma function and Pochhammer symbol ⋮ Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function ⋮ Monotonicity and inequalities for the gamma function ⋮ On the monotonicity and convexity of the remainder of the Stirling formula ⋮ Some inequalities and monotonicity properties associated with the gamma and psi functions ⋮ Asymptotic expansions of Gurland's ratio and sharp bounds for their remainders ⋮ Unnamed Item ⋮ Asymptotic formulas for gamma function with applications ⋮ Sharp Smith's bounds for the gamma function ⋮ Integral representations and complete monotonicity of remainders of the binet and Stirling formulas for the gamma function ⋮ Bernoulli polynomials and asymptotic expansions of the quotient of gamma functions ⋮ THE BURNSIDE APPROXIMATION OF GAMMA FUNCTION ⋮ A note on complete monotonicity of the remainder in Stirling's formula ⋮ The cosmological semiclassical Einstein equation as an infinite-dimensional dynamical system ⋮ Asymptotic expansions for the gamma function in terms of hyperbolic functions ⋮ 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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