THE BURNSIDE APPROXIMATION OF GAMMA FUNCTION

DOI10.1142/S0219530510001643zbMath1195.33002OpenAlexW2047837034MaRDI QIDQ3580194

Hongmin Qu, Feng-Shan Liu, Xi-Quan Shi

Publication date: 11 August 2010

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530510001643

zbMATH Keywords

gamma functionasymptotic seriesStirling's formulacompletely monotonic function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic enumeration (05A16)

Related Items (3)

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 ⋮ Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function

Cites Work

• Unnamed Item
• Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
• A new asymptotic series for the gamma function
• A Remark on Stirling's Formula
• Note on Stirling's Formula
• A Remark on Stirling's Formula
• What is the Laplace Transform?

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