Some characterizations of the Euler gamma function

DOI10.1216/RMJ-2015-45-4-1225zbMath1332.33002MaRDI QIDQ888116

Janusz Matkowski

Publication date: 4 November 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1446472432

zbMATH Keywords

gamma functionfunctional equationconvex functioncharacterizationgeometrically convex function

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Gamma, beta and polygamma functions (33B15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving other types of functions (26D07)

Related Items (1)

Remarks on the functional equation \(f(x+1) = g(x)f(x)\) and a uniqueness theorem for the gamma function

Cites Work

• A convexity property and a new characterization of Euler's gamma function
• On Convex Functions
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