Some functions that generalize the Krall-Laguerre polynomials
From MaRDI portal
Publication:1298786
DOI10.1016/S0377-0427(99)00069-2zbMath0926.33007OpenAlexW2054447620MaRDI QIDQ1298786
Luc Haine, Emil Horozov, F. Alberto Gruenbaum
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(99)00069-2
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)
Related Items
Introduction to Leonard pairs., Vector orthogonal polynomials with Bochner's property, On the Krall-type discrete polynomials, Darboux transformations for CMV matrices, Automorphisms of algebras and Bochner's property for vector orthogonal polynomials, A more accurate algorithm for computing the Christoffel transformation, Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions., The differential equation for Jacobi-Sobolev orthogonal polynomials with two linear perturbutions, Askey-Wilson type functions with bound states, The Darboux process and a noncommutative bispectral problem: some explorations and challenges, Construction of differential operators having Bochner-Krall orthogonal polynomials as eigenfunctions, Stochastic LU factorizations, Darboux transformations and urn models, From Krall discrete orthogonal polynomials to Krall polynomials, On difference operators for symmetric Krall-Hahn polynomials, Using \(\mathcal D\)-operators to construct orthogonal polynomials satisfying higher order difference or differential equations, DEK-type orthogonal polynomials and a modification of the Christoffel formula, Orthogonal polynomials satisfying higher-order difference equations, Unnamed Item, Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters, The algebra of difference operators associated to Meixner type polynomials, Matrix bispectrality and noncommutative algebras: beyond the prolate spheroidals, Discrete-continuous bispectral operators and rational Darboux transformations, Krall-Laguerre commutative algebras of ordinary differential operators, The spectral matrices associated with the stochastic Darboux transformations of random walks on the integers, Leonard pairs from 24 points of view., Bispectrality of Charlier type polynomials, Krall-Jacobi commutative algebras of partial differential operators, Bispectrality of Meixner type polynomials, Bispectral extensions of the Askey-Wilson polynomials, Constructing bispectral dual Hahn polynomials, Using \(\mathcal D\)-operators to construct orthogonal polynomials satisfying higher order \(q\)-difference equations, Constructing Krall-Hahn orthogonal polynomials, Constructing bispectral orthogonal polynomials from the classical discrete families of Charlier, Meixner and Krawtchouk, LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS, A new algorithm for computing the Geronimus transformation with large shifts, Orthogonal polynomials associated with an inverse quadratic spectral transform, Orthogonal polynomial solutions of linear ordinary differential equations, Electrostatic interpretation for the zeros of certain polynomials and the Darboux process, Direct and inverse polynomial perturbations of Hermitian linear functionals, The algebras of difference operators associated to Krall-Charlier orthogonal polynomials, Orthogonal polynomial solutions of spectral type differential equations: Magnus' conjecture, Recurrence relations for exceptional Hermite polynomials, Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials, Analytic properties of Laguerre-type orthogonal polynomials, Bispectral Laguerre type polynomials, Darboux transformation and perturbation of linear functionals, New examples of Krall-Meixner and Krall-Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials, Bispectral Jacobi type polynomials, On the differential equation for the Laguerre-Sobolev polynomials, Two linear transformations each tridiagonal with respect to an eigenbasis of the other; the TD-D canonical form and the LB-UB canonical form, Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters, Calogero-Moser spaces and an adelic \(W\)-algebra., Differential equations for discrete Laguerre-Sobolev orthogonal polynomials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differential equations in the spectral parameter
- Bispectral Darboux transformations: The generalized Airy case
- On the classification of differential equations having orthogonal polynomial solutions
- On the classification of differential equations having orthogonal polynomial solutions. II
- Collisions of Calogero-Moser particles and an adelic Grassmannian (with an appendix by I. G. Macdonald)
- Differential-difference evolution equations. II: Darboux transformation for the Toda lattice
- Bispectral algebras of commuting ordinary differential operators
- General methods for constructing bispectral operators
- On pairs of related orthogonal polynomial sets
- Certain differential equations for Tchebycheff polynomials
- Bispectral commutative ordinary differential operators.
- Associated Laguerre and Hermite polynomials
- Recurrence relations, continued fractions, and orthogonal polynomials
- THE KRALL POLYNOMIALS: A NEW CLASS OF ORTHOGONAL POLYNOMIALS
- AN APPLICATION OF A NEW THEOREM ON ORTHOGONAL POLYNOMIALS AND DIFFERENTIAL EQUATIONS
- Chebyshev Sets of Polynomials which Satisfy an Ordinary Differential Equation
- Orthogonal polynomials satisfying fourth order differential equations
- On a Differential Equation for Koornwinder's Generalized Laguerre Polynomials
- Differential Equations for Symmetric Generalized Ultraspherical Polynomials
- Orthogonal Polynomials With Weight Function (1 - x)α( l + x)β + Mδ(x + 1) + Nδ(x - 1)