Inequalities involving modified Bessel functions of the first kind. II

DOI10.1016/j.jmaa.2006.10.007zbMath1114.33003OpenAlexW4246183450MaRDI QIDQ882008

Árpád Baricz, Edward Neuman

Publication date: 23 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.10.007

zbMATH Keywords

inequalitieslogarithmic convexitymodified Bessel functions of the first kind

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (14)

Monotonicity of the ratio of modified Bessel functions of the first kind with applications ⋮ Tight bounds for the generalized Marcum \(Q\)-function ⋮ Generalized elliptic integrals ⋮ Sharp bounds for the ratio of modified Bessel functions ⋮ Convexity of ratios of the modified Bessel functions of the first kind with applications ⋮ Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications ⋮ The logarithmic concavity of modified Bessel functions of the first kind and its related functions ⋮ Functional inequalities for modified Bessel functions ⋮ Functional inequalities involving Bessel and modified Bessel functions of the first kind ⋮ Properties of the probability density function of the non-central chi-squared distribution ⋮ Amos-type bounds for modified Bessel function ratios ⋮ Bounds for modified Bessel functions of the first and second kinds ⋮ Refinements, generalizations, and applications of Jordan's inequality and related problems ⋮ Van der Corput inequalities for Bessel functions

Cites Work

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• Inequalities involving modified Bessel functions of the first kind
• Functional inequalities for the quotients of hypergeometric functions
• Functional inequalities involving special functions
• Landen-type inequality for Bessel functions
• Some monotonicity results for ratios of modified Bessel functions
• Asymptotic expansions and inequalities for hypergeometric function
• Computation of Modified Bessel Functions and Their Ratios

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