On Factorization and Solutions ofq-difference Equations Satisfied by some Classes of Orthogonal Polynomials
From MaRDI portal
Publication:4822512
DOI10.1080/10236190310001641218zbMath1070.47019OpenAlexW2084613307MaRDI QIDQ4822512
Iryna Egorova, Anne Boutet de Monvel-Berthier
Publication date: 25 October 2004
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236190310001641218
Scattering theory of linear operators (47A40) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)
Related Items (3)
Scattering theory for Jacobi operators with quasi-periodic background ⋮ Periodic Jacobi operator with finitely supported perturbations: the inverse resonance problem ⋮ Resonances for periodic Jacobi operators with finitely supported perturbations
Uses Software
Cites Work
- Unnamed Item
- On orthogonal polynomials with perturbed recurrence relations
- Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials
- Difference equations and quantized discriminants for \(q\)-orthogonal polynomials
- Factorization of fourth-order differential equations for perturbed classical orthogonal polynomials.
- Recurrence equations and their classical orthogonal polynomial solutions
- Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class.
- On classical orthogonal polynomials
- Upward extension of the Jacobi matrix for orthogonal polynomials
- The fourth-order difference equation satisfied by the associated orthogonal polynomials of the Dq-Laguerre - Hahn Class
- The Associated Ultraspherical Polynomials and their q-Analogues
- On theq-polynomials in the exponential latticex(s)=c1qs+c3
- The theory of difference analogues of special functions of hypergeometric type
- On Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable: Derivation, Factorization and Solutions
- Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
- Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials
- On the \(q\)-polynomials: A distributional study
- \(q\)-classical polynomials and the \(q\)-Askey and Nikiforov-Uvarov tableaus
This page was built for publication: On Factorization and Solutions ofq-difference Equations Satisfied by some Classes of Orthogonal Polynomials