Difference equations for generalized Meixner polynomials
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Publication:1332223
DOI10.1006/jmaa.1994.1214zbMath0824.33005OpenAlexW2060308028WikidataQ56447417 ScholiaQ56447417MaRDI QIDQ1332223
Henk van Haeringen, H. Bavinck
Publication date: 8 September 1994
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1994.1214
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Additive difference equations (39A10)
Related Items (24)
On the Krall-type discrete polynomials ⋮ Generalizations of meixner polynomials which are eigenfunctions of a difference operator ⋮ Rational spectral transformations and orthogonal polynomials ⋮ On the properties for modifications of classical orthogonal polynomials of discrete variables ⋮ From Krall discrete orthogonal polynomials to Krall polynomials ⋮ Limit relations between generalized orthogonal polynomials ⋮ Using \(\mathcal D\)-operators to construct orthogonal polynomials satisfying higher order difference or differential equations ⋮ Some new results for Charlier and Meixner polynomials ⋮ Orthogonal polynomials satisfying higher-order difference equations ⋮ Recurrence relations for the moments of discrete semiclassical functionals of class s≤2 ⋮ The modification of classical hahn polynomials of a discrete variable ⋮ Perturbations of discrete semiclassical functionals by dirac masses ⋮ Difference operators with Sobolev type Meixner polynomials as eigenfunctions ⋮ Constructing bispectral dual Hahn polynomials ⋮ Using \(\mathcal D\)-operators to construct orthogonal polynomials satisfying higher order \(q\)-difference equations ⋮ Constructing Krall-Hahn orthogonal polynomials ⋮ Linear perturbations of differential or difference operators with polynomials as eigenfunctions ⋮ On differential equations for Sobolev-type Laguerre polynomials ⋮ Discrete orthogonal polynomials – polynomial modification of a classical functional ⋮ Constructing bispectral orthogonal polynomials from the classical discrete families of Charlier, Meixner and Krawtchouk ⋮ Limit relations between \(q\)-Krall type orthogonal polynomials ⋮ The algebras of difference operators associated to Krall-Charlier orthogonal polynomials ⋮ Elliptic solutions of the Toda chain and a generalization of the Stieltjes-Carlitz polynomials ⋮ Second order difference equations for certain families of `discrete' polynomials
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