Turán's inequality for the Kummer function of the phase shift of two parameters

DOI10.1007/s10958-011-0537-xzbMath1303.26016OpenAlexW1984292584MaRDI QIDQ476655

Dmitriĭ Borisovich Karp

Publication date: 2 December 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0537-x

zbMATH Keywords

confluent hypergeometric functionlog-convexitylog-concavityinverse Turán inequality

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Inequalities involving other types of functions (26D07)

Related Items

Inequalities for series in \(q\)-shifted factorials and \(q\)-gamma functions ⋮ Log-concavity and Turán-type inequalities for the generalized hypergeometric function ⋮ Log-convexity and log-concavity for series in gamma ratios and applications ⋮ Logarithmic concavity of series in gamma ratios

Cites Work

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• An inequality for the exponential function
• Log-convexity and log-concavity of hypergeometric-like functions
• Turán type inequalities for generalized complete elliptic integrals
• Functional inequalities involving Bessel and modified Bessel functions of the first kind
• A note on Turán type and mean inequalities for the Kummer function
• Bounds on Turán determinants
• A note on the successive remainders of the exponential series
• Turán type inequalities for hypergeometric functions
• From Wythoff's Nim to Chebyshev's Inequality
• Positivity of Tur\'an determinants for orthogonal polynomials
• On some inequalities for the gamma and psi functions

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