Solution bases for the fourth-order Bessel-type and Laguerre-type differential equations

DOI10.1080/00036810903438463zbMath1223.33014OpenAlexW1964297971WikidataQ58255263 ScholiaQ58255263MaRDI QIDQ2995527

Clemens Markett, W. Norrie Everitt

Publication date: 21 April 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903438463

zbMATH Keywords

Laguerre polynomialsBessel functionsFourier-Bessel seriesBessel-type equationFourth-order linear ordinary differential equationsLaguerre-type equation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Generalized hypergeometric series, ({}_pF_q) (33C20) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (2)

Kramer-type sampling theorems associated with higher-order differential equations ⋮ New representation and factorizations of the higher-order ultraspherical-type differential equations

Cites Work

• Unnamed Item
• Fourier-Bessel-type series: the fourth-order case
• On a generalization of Bessel functions satisfying higher-order differential equations
• Properties of the solutions of the fourth-order Bessel-type differential equation
• The Bessel differential equation and the Hankel transform
• Certain differential equations for Tchebycheff polynomials
• Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform^†
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)
• The Fourth-order Bessel–type Differential Equation
• Additional spectral properties of the fourth‐order Bessel‐type differential equation

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