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Some characterizations of Dunkl-classical orthogonal polynomials
- Source :
- Journal of Difference Equations and Applications. 20:1240-1257
- Publication Year :
- 2014
- Publisher :
- Informa UK Limited, 2014.
-
Abstract
- In this paper, we present three characterizations of Dunkl-classical orthogonal polynomials. The first one is a -distributional equation of Pearson type fulfilled by its associated form, where is the Dunkl operator. The second is a first order linear -difference equation with polynomial coefficients satisfied by the corresponding Stieltjes function. The third is the so-called structure relation fulfilled by Dunkl–classical polynomials.
- Subjects :
- Discrete mathematics
Pure mathematics
Algebra and Number Theory
Applied Mathematics
Discrete orthogonal polynomials
Mathematics::Classical Analysis and ODEs
Classical orthogonal polynomials
symbols.namesake
Difference polynomials
Wilson polynomials
Hahn polynomials
Orthogonal polynomials
symbols
Jacobi polynomials
Mathematics::Representation Theory
Analysis
Mathematics
Dunkl operator
Subjects
Details
- ISSN :
- 15635120 and 10236198
- Volume :
- 20
- Database :
- OpenAIRE
- Journal :
- Journal of Difference Equations and Applications
- Accession number :
- edsair.doi...........c1620869d1c4724a398671b0d21ec98d