Connection problems for polynomial solutions of nonhomogeneous differential and difference equations

DOI10.1016/S0377-0427(98)00155-1zbMath0933.65147OpenAlexW2048892491MaRDI QIDQ1298560

A. Zarzo, IvÁn Area, André Ronveaux, Eduardo Paciência Godoy

Publication date: 22 August 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00155-1

zbMATH Keywords

recurrence relationpolynomial solutionsnonhomogeneous difference equationnonhomogeneous differential equation

Mathematics Subject Classification ID

Related Items (7)

Solution of inhomogeneous differential equations with polynomial coefficients in terms of the Green's function ⋮ The fourth-order difference equation satisfied by the associated orthogonal polynomials of the Dq-Laguerre - Hahn Class ⋮ Asymptotic approximations between the hahn-type polynomials and Hermite, Laguerre and charlier polynomials ⋮ On the connection and linearization problem for discrete hypergeometric \(q\)-polynomials ⋮ Recurrences and explicit formulae for the expansion and connection coefficients in series of classical discrete orthogonal polynomials ⋮ Recurrence relation approach for expansion and connection coefficients in series of Hahn polynomials ⋮ Classical orthogonal polynomials: Dependence of parameters

Uses Software

• Mathematica

Cites Work

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• Sobolev inner products and orthogonal polynomials of Sobolev type
• Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
• Results on the associated Jacobi and Gegenbauer polynomials
• Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case
• Projection formulas for orthogonal polynomials of a discrete variable
• Recurrence relations for connection coefficients between two families of orthogonal polynomials
• Results on the associated classical orthogonal polynomials
• Laguerre-Sobolev orthogonal polynomials
• Fourth-order differential equations for numerator polynomials
• Results for some inversion problems for classical continuous and discrete orthogonal polynomials
• Generating Functions for Bessel and Related Polynomials
• Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable

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