A function class of strictly positive definite and logarithmically completely monotonic functions related to the modified Bessel functions

DOI10.1007/s11117-018-0584-3zbMath1403.42005arXiv1205.1112OpenAlexW2963322305MaRDI QIDQ1624080

Jamel El Kamel, Khaled Mehrez

Publication date: 15 November 2018

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1112

zbMATH Keywords

Bessel functionspositive definite functionscompletely monotonic functionslogarithmically completely monotonic functions

Mathematics Subject Classification ID

Positive definite functions in one variable harmonic analysis (42A82) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Inequalities involving other types of functions (26D07)

Related Items (8)

Logarithmically completely monotonic functions related to the \(q\)-gamma function and its applications ⋮ Positive-definiteness and integral representations for special functions ⋮ Multiply monotone functions for radial basis function interpolation: extensions and new kernels ⋮ Unnamed Item ⋮ A study of certain class of strictly positives definite functions and applications ⋮ Linking physics and spatial statistics: a new family of Boltzmann-Gibbs random fields ⋮ New integral representations for the Fox-Wright functions and its applications ⋮ Positivity of certain classes of functions related to the Fox \(H\)-functions with applications

Cites Work

• A certain function class related to the class of logarithmically completely monotonic functions
• Inequalities in Fourier analysis
• Bessel functions and the infinite divisibility of the Student \(t\)-distribution
• Integral transforms and their applications
• Complete Monotonicity of Modified Bessel Functions
• Scattered Data Approximation
• Unnamed Item
• Unnamed Item
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• Unnamed Item

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