Remarks on asymptotic expansions for the gamma function

DOI10.1016/j.aml.2012.06.025zbMath1254.33002OpenAlexW2000173592MaRDI QIDQ714588

Long Lin, Chao-Ping Chen

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.06.025

zbMATH Keywords

gamma functionasymptotic expansionBernoulli numbers

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Gamma, beta and polygamma functions (33B15)

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Cites Work

• A substantial improvement of the Stirling formula
• New asymptotic expansion for the gamma function
• Sharp inequalities related to Gosper's formula
• Very accurate approximations for the factorial function
• SHARP INEQUALITIES FOR FACTORIAL n
• Decision procedure for indefinite hypergeometric summation
• ON RAMANUJAN'S DOUBLE INEQUALITY FOR THE GAMMA FUNCTION
• On the asymptotic representation of the Euler gamma function by Ramanujan
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