Lowering and raising operators for some special orthogonal polynomials

Authors
Publication date 2006
Journal Contemporary Mathematics
Volume | Issue number 417
Pages (from-to) 227-238
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract Abstract:
This paper discusses operators lowering or raising the degree
but preserving the parameters of special orthogonal
polynomials. Results for one-variable classical (q-)orthogonal
polynomials are surveyed. For Jacobi polynomials associated with
root system BC2 a new pair of lowering and raising operators
is obtained.
Document type Article
Note Proceedings title: Jack, Hall-Littlewood and Macdonald polynomials Publisher: American Mathematical Society Editors: V.B. Kuznetsov, S. Sahi
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