The fourth-order difference equation satisfied by the associated orthogonal polynomials of the Dq-Laguerre - Hahn Class

DOI10.1080/10236190108808281zbMath0996.33009OpenAlexW2163312912MaRDI QIDQ2752240

Mahouton Norbert Hounkonnou, André Ronveaux, Mama Foupouagnigni

Publication date: 2 November 2002

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190108808281

zbMATH Keywords

\(q\)-orthogonal polynomialsLaguerre-Hahn classfourth order difference equations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13)

Related Items (5)

Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class. ⋮ On Factorization and Solutions ofq-difference Equations  Satisfied by some Classes of Orthogonal Polynomials ⋮ On Factorization and Solutions ofq-difference Equations  Satisfied by some Classes of Orthogonal Polynomials ⋮ Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials ⋮ Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials

Uses Software

• Maple

Cites Work

• Co-recursive orthogonal polynomials and fourth-order differential equation
• On differential equations for orthogonal polynomials
• Fourth-order difference equation for the associated classical discrete orthogonal polynomials
• Laguerre-Freud equations for the recurrence coefficients of \(D_{\omega}\) semi-classical orthogonal polynomials of class one
• Connection problems for polynomial solutions of nonhomogeneous differential and difference equations
• Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials
• Some results on co-recursive associated Meixner and Charlier polynomials
• Fourth-order differential equation satisfied by the associated of any order of all classical orthogonal polynomials. A study of their distribution of zeros
• Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class.
• Fourth-order differential equations satisfied by the generalized co- recursive of all classical orthogonal polynomials. A study of their distribution of zeros
• Results on the associated classical orthogonal polynomials
• Upward extension of the Jacobi matrix for orthogonal polynomials
• Algorithms for \(q\)-hypergeometric summation in computer algebra
• The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class
• On the associated orthogonal polynomials
• Explicit Formulas for the Associated Jacobi Polynomials and Some Applications
• Fourth-order differential equations for numerator polynomials
• Some Results on Co-Recursive Associated Laguerre and Jacobi Polynomials
• The theory of difference analogues of special functions of hypergeometric type
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable
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