Redheffer type bounds for Bessel and modified Bessel functions of the first kind

DOI10.1007/s00010-018-0545-8zbMath1401.33004arXiv1701.08446OpenAlexW2584944409WikidataQ130064677 ScholiaQ130064677MaRDI QIDQ1647750

Árpád Baricz, Khaled Mehrez

Publication date: 26 June 2018

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08446

zbMATH Keywords

Bessel and modified Bessel functions of the first and second kindRedheffer type inequalities

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Inequalities for trigonometric functions and polynomials (26D05)

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Geometric and monotonic properties of hyper-Bessel functions ⋮ New properties for several classes of functions related to the Fox-Wright functions

Cites Work

• Extension of Redheffer type inequalities to modified Bessel functions
• Redheffer type inequalities for modified Bessel functions
• Inequalities involving Bessel and modified Bessel functions
• Functional inequalities involving Bessel and modified Bessel functions of the first kind
• Six new Redheffer-type inequalities for circular and hyperbolic functions
• Refinements, generalizations, and applications of Jordan's inequality and related problems
• Bessel functions and the infinite divisibility of the Student \(t\)-distribution
• Inequalities for quasiconformal mappings in space
• Bounds for Turánians of modified Bessel functions
• Asymptotic expansions and inequalities for hypergeometric function
• Bounds for modified Bessel functions of the first and second kinds
• The Rayleigh Function
• On inequalities of the Turán type
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