Additional spectral properties of the fourth‐order Bessel‐type differential equation

DOI10.1002/mana.200410320zbMath1099.33003OpenAlexW2016726773WikidataQ115405924 ScholiaQ115405924MaRDI QIDQ5711805

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

Publication date: 8 December 2005

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200410320

zbMATH Keywords

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

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) 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 (5)

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

Cites Work

• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)
• Unnamed Item

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