A new sharp approximation for the gamma function related to Burnside's formula
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Publication:2254853
DOI10.1007/S11139-013-9534-7zbMath1306.33006OpenAlexW2023397224MaRDI QIDQ2254853
Publication date: 6 February 2015
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-013-9534-7
Gamma, beta and polygamma functions (33B15) Approximation by polynomials (41A10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Related Items (15)
A more accurate approximation for the gamma function ⋮ An accurate approximation formula for gamma function ⋮ Windschitl type approximation formulas for the gamma function ⋮ Approximations for certain hyperbolic functions by partial sums of their Taylor series and completely monotonic functions related to gamma function ⋮ Completely monotonic functions and inequalities associated to some ratio of gamma function ⋮ A new continued fraction approximation and inequalities for the gamma function via the tri-gamma function ⋮ A family of Windschitl type approximations for gamma function ⋮ Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function ⋮ Monotonicity and inequalities for the gamma function ⋮ Two asymptotic expansions for gamma function developed by Windschitl's formula ⋮ Asymptotic formulas for gamma function with applications ⋮ Sharp Smith's bounds for the gamma function ⋮ Continued fraction approximations and inequalities for the gamma function by Burnside ⋮ 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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- Decision procedure for indefinite hypergeometric summation
- On some inequalities for the gamma and psi functions
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