Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform†

DOI10.1080/10652460601041094zbMath1200.33009OpenAlexW1995545739MaRDI QIDQ3423552

Clemens Markett, Hubert Kalf, Lance L. Littlejohn, W. Norrie Everitt

Publication date: 14 February 2007

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460601041094

zbMATH Keywords

differential operatorsBessel functionslinear ordinary differential equationsBessel-type functionsLebesgue-Stieltjes Hilbert spaces

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) General spectral theory of ordinary differential operators (34L05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (6)

Kramer-type sampling theorems associated with higher-order differential equations ⋮ On the higher-order differential equations for the generalized Laguerre polynomials and Bessel functions ⋮ Solution bases for the fourth-order Bessel-type and Laguerre-type differential equations ⋮ Fourier-Bessel series for second-order and fourth-order Bessel differential equations ⋮ Properties of the solutions of the fourth-order Bessel-type differential equation ⋮ Fourier-Bessel-type series: the fourth-order case

Cites Work

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• On a generalization of Bessel functions satisfying higher-order differential equations
• On the range of the Hankel and extended Hankel transforms
• Halbbeschränkte gewöhnliche Differentialoperatoren zweiter Ordnung
• The Fourth-order Bessel–type Differential Equation
• Additional spectral properties of the fourth‐order Bessel‐type differential equation
• COMPLEX FOURIER--BESSEL TRANSFORMS

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