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An Elementary Proof of Binet's Formula for the Gamma Function

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Publication:2757351
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DOI10.2307/2589052zbMath0985.33002OpenAlexW4248904569MaRDI QIDQ2757351

Zoltán Sasvári

Publication date: 26 November 2001

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2589052


zbMATH Keywords

gamma functiondifference equationStirling's formulaBinet's formula


Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Additive difference equations (39A10)


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Approximations for certain hyperbolic functions by partial sums of their Taylor series and completely monotonic functions related to gamma function ⋮ Stirling’s Original Asymptotic Series from a Formula Like One of Binet’s and its Evaluation by Sequence Acceleration ⋮ Gamma and Factorial in the Monthly ⋮ Model comparison with composite likelihood information criteria ⋮ ANALYTIC PROPERTIES OF MIRROR MAPS ⋮ Asymptotic expansions for the truncation error in Ramanujan-type series ⋮ Inequalities for binomial coefficients




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