Monotonicity properties and functional inequalities for the Volterra and incomplete Volterra functions

DOI10.1080/10652469.2018.1512107zbMath1446.33009arXiv1805.01462OpenAlexW3100163363MaRDI QIDQ4685625

Khaled Mehrez, Sergeĭ Mikhaĭlovich Sitnik

Publication date: 9 October 2018

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01462

zbMATH Keywords

functional inequalitiesVolterra functionTurán type inequalitiescompletely monotoniclog-convex functionsincomplete Volterra function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Convexity of real functions in one variable, generalizations (26A51) (q)-gamma functions, (q)-beta functions and integrals (33D05) Hurwitz and Lerch zeta functions (11M35) Other special functions (33E99)

Related Items (3)

Volterra-Prabhakar function of distributed order and some applications ⋮ New properties for several classes of functions related to the Fox-Wright functions ⋮ Monotonicity patterns and functional inequalities for classical and generalized Wright functions

Cites Work

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• A probabilistic interpretation of complete monotonicity
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Functional inequalities for the Mittag-Leffler functions
• On monotonicity of ratios of some hypergeometric functions
• Functional inequalities for the Wright functions
• 2627. A generalisation of Schur's inequality
• Functional inequalities for incomplete gamma and related functions

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