Turán determinants of Bessel functions

DOI10.1515/form.2011.160zbMath1304.33003arXiv1101.4624OpenAlexW3101868106MaRDI QIDQ3189493

Tibor K. Pogány, Árpád Baricz

Publication date: 11 September 2014

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4624

zbMATH Keywords

boundsentire functionsrecurrence relationsintegral representationsLaguerre-Pólya classTurán type inequalitiesBessel functions of the first kindBessel functions of the second kindLaguerre type inequalitiesNeumann series of Bessel functions of the first kindTurán and Hankel determinants

Mathematics Subject Classification ID

Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Inequalities involving other types of functions (26D07)

Related Items (11)

On the regular integral solutions of a generalized Bessel differential equation ⋮ Monotonicity rules for the ratio of two Laplace transforms with applications ⋮ Turán type inequalities for Struve functions ⋮ Monotonicity and complete monotonicity of some functions involving the modified Bessel functions of the second kind ⋮ Spherical Bessel functions and critical lengths ⋮ Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications ⋮ The monotonicity and convexity for the ratios of modified Bessel functions of the second kind and applications ⋮ Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula ⋮ Integral representations and summations of the modified Struve function ⋮ Bounds for Turánians of modified Bessel functions ⋮ Turán type inequalities for regular Coulomb wave functions

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