Cross-product of Bessel functions: monotonicity patterns and functional inequalities

DOI10.1007/s12044-018-0398-zzbMath1393.39018arXiv1507.01104OpenAlexW2218265377MaRDI QIDQ723472

Árpád Baricz, Sanjeev Singh, Saminathan Ponnusamy

Publication date: 31 July 2018

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01104

zbMATH Keywords

Bessel functionfunctional inequalityinfinite product representationRedheffer-type inequalities

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (2)

Stability and transitions of the second grade Poiseuille flow ⋮ Radii of starlikeness and convexity of a cross-product of Bessel functions

Cites Work

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• On an identity for zeros of Bessel functions
• Extension of Redheffer type inequalities to modified Bessel functions
• Functional inequalities involving Bessel and modified Bessel functions of the first kind
• Inequalities for quasiconformal mappings in space
• Modified Dini functions: monotonicity patterns and functional inequalities
• On Rayleigh's conjecture for the clamped plate and its generalization to three dimensions
• Bounds for the small real and purely imaginary zeros of Bessel and related functions
• Monotonicity of the zeros of a cross product of Bessel functions
• Starlikeness of a cross-product of Bessel functions
• The radius of convexity of normalized Bessel functions of the first kind
• The Rayleigh Function
• On inequalities of the Turán type

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