Vector orthogonal polynomials with Bochner's property
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Publication:1615923
DOI10.1007/s00365-017-9410-6zbMath1423.33024arXiv1609.06151OpenAlexW2962773328MaRDI QIDQ1615923
Publication date: 31 October 2018
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.06151
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)
Related Items
On some Sobolev spaces with matrix weights and classical type Sobolev orthogonal polynomials, On the orthogonality of partial sums of generalized hypergeometric series
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Cites Work
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- Automorphisms of algebras and Bochner's property for vector orthogonal polynomials
- \(d\)-orthogonal polynomials and \(\mathfrak {su}(2)\)
- Orthogonality properties of the Hermite and related polynomials
- Differential equations in the spectral parameter
- Vector orthogonal relations. Vector QD-algorithm
- Equivariant orbifold structures on the projective line and integrable hierarchies
- Krall-Jacobi commutative algebras of partial differential operators
- Discrete bispectral Darboux transformations from Jacobi operators.
- Über Polynomsysteme, die Sturm-Liouvilleschen Differenzengleichungen genügen
- The trigonometric grassmannian and a difference \(W\)-algebra
- Generalized Hermite polynomials and supergaussian forms
- Operational formulas connected with two generalizations of Hermite polynomials
- Operational rules and arbitrary order Hermite generating functions
- Multiple orthogonal polynomials
- Some functions that generalize the Krall-Laguerre polynomials
- Some discrete \(d\)-orthogonal polynomial sets.
- Some discrete multiple orthogonal polynomials
- The relation of the \(d\)-orthogonal polynomials to the Appell polynomials
- Toda lattice hierarchy and generalized string equations
- Orthogonal polynomials satisfying higher-order difference equations
- Krall-Laguerre commutative algebras of ordinary differential operators
- General methods for constructing bispectral operators
- Highest weight modules over the \(W_{1+\infty}\) algebra and the bispectral problem
- Constructing bispectral orthogonal polynomials from the classical discrete families of Charlier, Meixner and Krawtchouk
- Differential equations for discrete Laguerre-Sobolev orthogonal polynomials
- Hirota quadratic equations for the extended Toda hierarchy
- Some generalized hypergeometric \(d\)-orthogonal polynomial sets
- The Gould-Hopper polynomials in the Novikov-Veselov equation
- Additional symmetries of the extended bigraded Toda hierarchy
- Automorphisms of the Heisenberg–Weyl algebra and d-orthogonal polynomials
- Random matrix model with external source and a constrained vector equilibrium problem
- L'orthogonalité et les récurrences de polynômes d'ordre supérieur à deux
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- Meixner–Pollaczek polynomials and the Heisenberg algebra
- On the Mellin transforms of hypergeometric polynomials
- Systems of Polynomials Connected with the Charlier Expansions and the Pearson Differential and Difference Equations
- A generalized hypergeometric d -orthogonal polynomial set
- Orthogonal Polynomials With Weight Function (1 - x)α( l + x)β + Mδ(x + 1) + Nδ(x - 1)
- Hermite-Padé approximations and multiple orthogonal polynomial ensembles
- Proof of a conjecture by Gazeau et al. using the Gould-Hopper polynomials
- Sur les algèbres de Weyl
- LAGUERRE AND MEIXNER POLYNOMIALS IN DUALITY
- Orthogonal Polynomials Defined by Difference Equations
- A New Class of Orthogonal Polynomials: The Bessel Polynomials
- Some classical multiple orthogonal polynomials
- Orthogonal polynomial solutions of linear ordinary differential equations