M. Lorente
Published 2004-01-06Version 1
We develop general expressions for the raising and lowering operators that belong to the orthogonal polynomials of hypergeometric type with discrete and continuous variable. We construct the creation and annihilation operators that correspond to the normalized polynomials and study their algebraic properties in the case of the Kravchuk/Hermite Meixner/Laguerre polynomials.
Comments: LaTeX, 9 pages, uses siamltex.sty (late submission)
Journal: El. Trans. Num. Anal. 9 (1999) 102-111
Orthogonal polynomials of several discrete variables and the 3nj-Wigner symbols: applications to spin networks
Dimers and orthogonal polynomials: connections with random matrices
Open problem in orthogonal polynomials
