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Wielandt's Theorem About the Γ-Function

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Publication:4882665
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DOI10.2307/2975370zbMath0854.33002OpenAlexW4249544877MaRDI QIDQ4882665

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Publication date: 18 June 1996

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

Full work available at URL: https://doi.org/10.2307/2975370


zbMATH Keywords

Stirling's formulaLiouville's theoremmultiplication formulaGauss productbeta integral formula


Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) History of special functions (33-03)


Related Items (9)

Estimating the division rate and kernel in the fragmentation equation ⋮ The gamma function via interpolation ⋮ On the definition of the Euler gamma function ⋮ Gamma and Factorial in the Monthly ⋮ Remarks on the functional equation \(f(x+1) = g(x)f(x)\) and a uniqueness theorem for the gamma function ⋮ A convexity property and a new characterization of Euler's gamma function ⋮ A new entire factorial function ⋮ A FUNCTIONAL INEQUALITY FOR THE GAMMA FUNCTION ⋮ On Ivády's bounds for the gamma function and related results




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