Geodesic
Creation and annihilation operators for orthogonal polynomials of continuous and discrete variables
Electronic transactions on numerical analysis, Tome 9 (1999), pp. 102-111.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 33C45, 33C80, 81R50
Keywords: orthogonal polynomials, difference equations, creation and annihilation operators 
@article{ETNA_1999__9__a4,
     author = {Lorente, Miguel},
     title = {Creation and annihilation operators for orthogonal polynomials of continuous and discrete variables},
     journal = {Electronic transactions on numerical analysis},
     pages = {102--111},
     publisher = {mathdoc},
     volume = {9},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1999__9__a4/}
}
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Lorente, Miguel. Creation and annihilation operators for orthogonal polynomials of continuous and discrete variables. Electronic transactions on numerical analysis, Tome 9 (1999), pp. 102-111. http://geodesic.mathdoc.fr/item/ETNA_1999__9__a4/