Lowering and raising operators for some special orthogonal polynomials

Research paper by Tom H. Koornwinder

Indexed on: 18 May '05Published on: 18 May '05Published in: Mathematics - Classical Analysis and ODEs

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 BC_2 a new pair of lowering and raising operators is obtained.

Lowering and raising operators for some special orthogonal polynomials

Abstract

More like this:

Generalized raising and lowering operators for supersymmetric quantum mechanics

Raising and lowering operators and their factorization for generalized orthogonal polynomials of hypergeometric type on homogeneous and non-homogeneous lattice

Discriminants and Functional Equations for Polynomials Orthogonal on the Unit Circle

Lowering and raising operators for some special orthogonal polynomials

Abstract

More like this:

Generalized raising and lowering operators for supersymmetric quantum mechanics

Raising and lowering operators and their factorization for generalized orthogonal polynomials of hypergeometric type on homogeneous and non-homogeneous lattice

Discriminants and Functional Equations for Polynomials Orthogonal on the Unit Circle

This website uses cookies