Directional convexity and characterizations of Beta and Gamma functions

zbMath1400.33003arXiv1505.01472MaRDI QIDQ4583050

Janusz Matkowski, Martin Himmel

Publication date: 27 August 2018

Full work available at URL: https://arxiv.org/abs/1505.01472

zbMATH Keywords

convex functionsEuler gamma functionconcave functionsdirectional convexityEuler beta function

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Gamma, beta and polygamma functions (33B15) Convexity of real functions of several variables, generalizations (26B25)

Related Items (1)

Homogeneous Beta-type functions

Cites Work

• Geometrically convex solutions of certain difference equations and generalized Bohr-Mollerup type theorems
• A convexity property and a new characterization of Euler's gamma function
• Inequalities for Beta and Gamma functions via some classical and new integral inequalities
• A remark on level curves for domains convex in one direction^†‡
• Bemerkungen zur Differenzengleichung g (x + 1) − g(x) = φ (x). Helmut Hasse zum 50. Geburtstag
• On directional convexity
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