Logarithmic concavity of series in gamma ratios

DOI10.3103/S1066369X14060073zbMath1314.33001OpenAlexW2069539192MaRDI QIDQ2262902

Dmitriĭ Borisovich Karp, Sergeĭ Ivanovich Kalmykov

Publication date: 17 March 2015

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x14060073

zbMATH Keywords

beta functiongamma functionlogarithmic concavity

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (4)

Inequalities for series in \(q\)-shifted factorials and \(q\)-gamma functions ⋮ Enveloping of the values of an analytic function related to the number \(e\) ⋮ Log-concavity and Turán-type inequalities for the generalized hypergeometric function ⋮ Normalized incomplete beta function: log-concavity in parameters and other properties

Cites Work

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• Turán's inequality for the Kummer function of the phase shift of two parameters
• Log-convexity and log-concavity of hypergeometric-like functions
• Inequalities and monotonicity of ratios for generalized hypergeometric function
• Log-convexity and log-concavity for series in gamma ratios and applications
• Log-concavity for series in reciprocal gamma functions and applications
• Decision procedure for indefinite hypergeometric summation
• Completely monotonic functions
• Inequalities for Bessel functions
• Convex functions and their applications. A contemporary approach

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