Geometric Properties of the Gamma Function

DOI10.2307/2974879zbMath0872.33002OpenAlexW4247308238MaRDI QIDQ4345033

Walter Rudin, Patrick Ahern

Publication date: 21 September 1997

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

Full work available at URL: https://doi.org/10.2307/2974879

zbMATH Keywords

convexitylogarithmic derivativegamma function on the complex plane

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Convexity of real functions in one variable, generalizations (26A51) Functional equations for complex functions (39B32)

Related Items (6)

Gamma and Factorial in the Monthly ⋮ Inequalities for gamma and q-gamma functions of complex arguments ⋮ Mercerian theorems involving Cesàro and Hölder means of positive order ⋮ The power series \(1+\frac z{\Gamma(1+i)}+\frac{z^2}{\Gamma (1+2i)}+\frac{z^3}{\Gamma(1+3i)}+\cdots\) has a natural boundary! ⋮ A completely monotone function related to the gamma function ⋮ Inverses of gamma functions

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