Monotonicity of zeros of derivatives of Bessel functions

DOI10.1016/J.JAT.2024.106102MaRDI QIDQ6651974

Yen Chi Lun, Dimitar K. Dimitrov

Publication date: 11 December 2024

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

Laguerre-Pólya classmonotonicity of zerosJensen polynomialsLaguerre's theoremzeros of derivatives of the Bessel function

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Real polynomials: location of zeros (26C10)

Cites Work

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• Geometric properties of some Lommel and Struve functions
• Necessary and sufficient conditions and the Riemann hypothesis
• Über zwei Arten von Faktorenfolgen in der Theorie der algebraischen Gleichungen.
• Über den Verlauf der \textit{Bessel}schen Funktionen zweiter Art.
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• Monotonicity of the zeros of the third derivative of Bessel functions
• Zeros of polynomials. Translated from the Bulgarian
• Zeros of Bessel function derivatives
• Zeros of some special entire functions
• On the convergence of the expansion of an arbitrary function \(f(x)\) in terms of the Bessel functions \[ J^{a}(\beta x), \; J^{a}(\beta_{2}x), \; J^{a}(\beta_{3}x), \ldots , \] where \(\beta_{1}, \beta_{2}, \beta_{3}, \ldots\) are the positive roots of the equation \(J^{a}(\beta) = 0\) .

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