The algebras of difference operators associated to Krall-Charlier orthogonal polynomials
DOI10.1016/j.jat.2018.06.003zbMath1397.42016OpenAlexW2810685531MaRDI QIDQ723766
Publication date: 24 July 2018
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2018.06.003
orthogonal polynomialseigenvaluesCharlier polynomialsalgebra of difference operatorsKrall orthogonal polynomials
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) Other functions coming from differential, difference and integral equations (33E30)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Using \(\mathcal D\)-operators to construct orthogonal polynomials satisfying higher order difference or differential equations
- The algebra of difference operators associated to a family of orthogonal 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
- Differential equations in the spectral parameter
- Krall-Jacobi commutative algebras of partial differential operators
- Discrete bispectral Darboux transformations from Jacobi operators.
- A method of constructing Krall's polynomials
- Some functions that generalize the Krall-Laguerre polynomials
- Difference equations for generalized Meixner polynomials
- Spectral transformations and generalized Pollaczek polynomials
- Differential equations for discrete Jacobi-Sobolev orthogonal polynomials
- On a difference equation for generalizations of Charlier polynomials
- A modification of Crum's method
- Orthogonal polynomials satisfying higher-order difference equations
- Krall-Laguerre commutative algebras of ordinary differential operators
- Constructing bispectral orthogonal polynomials from the classical discrete families of Charlier, Meixner and Krawtchouk
- Differential equations for discrete Laguerre-Sobolev orthogonal polynomials
- Wronskian type determinants of orthogonal polynomials, Selberg type formulas and constant term identities
- Exceptional Charlier and Hermite orthogonal polynomials
- On certain determinants whose elements are orthogonal polynomials
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- THE KRALL POLYNOMIALS: A NEW CLASS OF ORTHOGONAL POLYNOMIALS
- AN APPLICATION OF A NEW THEOREM ON ORTHOGONAL POLYNOMIALS AND DIFFERENTIAL EQUATIONS
- On a Differential Equation for Koornwinder's Generalized Laguerre Polynomials
- Differential Equations for Symmetric Generalized Ultraspherical Polynomials
- Symmetries for Casorati determinants of classical discrete orthogonal polynomials
- Differential equations for generalized Jacobi polynomials
This page was built for publication: The algebras of difference operators associated to Krall-Charlier orthogonal polynomials