Infinite matrices in the theory of orthogonal polynomials
From MaRDI portal
Publication:2658260
DOI10.1007/978-3-030-56190-1_11zbMath1460.33016OpenAlexW3129769554MaRDI QIDQ2658260
Publication date: 19 March 2021
Full work available at URL: https://doi.org/10.1007/978-3-030-56190-1_11
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Toeplitz, Cauchy, and related matrices (15B05)
Related Items (2)
Recurrence relations for the moments of discrete semiclassical orthogonal polynomials ⋮ Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials
Cites Work
- Unnamed Item
- A matrix approach for the semiclassical and coherent orthogonal polynomials
- Polynomial sequences generated by infinite Hessenberg matrices
- Infinite triangular matrices, \(q\)-Pascal matrices, and determinantal representations
- New results on the Bochner condition about classical orthogonal polynomials
- A matrix characterization for the \(D_\nu\)-semiclassical and \(D_\nu\)-coherent orthogonal polynomials
- Classical orthogonal polynomials: A functional approach
- (\(M,N\))-coherent pairs of linear functionals and Jacobi matrices
- Representation of doubly infinite matrices as non-commutative Laurent series
- Matrix approach to polynomials. II
- New characterizations of classical orthogonal polynomials
- Groups of generalized Pascal matrices
- Recurrence equations and their classical orthogonal polynomial solutions
- A matrix approach to polynomials.
- Characterization and construction of classical orthogonal polynomials using a matrix approach
- A unified construction of all the hypergeometric and basic hypergeometric families of orthogonal polynomial sequences
- Recurrence coefficients and difference equations of classical discrete orthogonal and \(q\)-orthogonal polynomial sequences
- On characterizations of classical polynomials
- Maps on infinite triangular matrices preserving idempotents
- Polynomial Translation Groups
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- Combinatorial and Functional Identities in One-Parameter Matrices
- Recurrence relations and determinant forms for general polynomial sequences. Application to Genocchi polynomials
- Every infinite triangular matrix is similar to a generalized infinite Jordan matrix
- Characterizations of classical orthogonal polynomials on quadratic lattices
- An algebraic approach to Sheffer polynomial sequences
- Derivations of Rings of Infinite Matrices
- Another Characterization of the Classical Orthogonal Polynomials
- On the \(q\)-polynomials: A distributional study
This page was built for publication: Infinite matrices in the theory of orthogonal polynomials