A continued product approximation for the gamma function

DOI10.1080/10652469.2012.762710zbMath1282.33003OpenAlexW2065716692MaRDI QIDQ2867910

Weiping Wang, Lei Feng

Publication date: 20 December 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.762710

zbMATH Keywords

gamma functionapproximationsStirling's formula

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Cites Work

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• A new Stirling series as continued fraction
• A class of integral approximations for the factorial function
• New asymptotic expansion for the gamma function
• An ultimate extremely accurate formula for approximation of the factorial function
• Sharp inequalities related to Gosper's formula
• The best rational remainders in the Stirling formula
• Some completely monotonic functions relating to the gamma function
• On the asymptotic representation of the Euler gamma function by Ramanujan

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