Geodesic
Creation and annihilation operators for orthogonal polynomials of continuous and discrete variables
Electronic transactions on numerical analysis, Tome 9 (1999), pp. 102-111
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},
     year = {1999},
     volume = {9},
     zbl = {0952.33005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1999__9__a4/}
}
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AU  - Lorente,  Miguel
TI  - Creation and annihilation operators for orthogonal polynomials of continuous and discrete variables
JO  - Electronic transactions on numerical analysis
PY  - 1999
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EP  - 111
VL  - 9
UR  - http://geodesic.mathdoc.fr/item/ETNA_1999__9__a4/
LA  - en
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ER  - 
%0 Journal Article
%A Lorente,  Miguel
%T Creation and annihilation operators for orthogonal polynomials of continuous and discrete variables
%J Electronic transactions on numerical analysis
%D 1999
%P 102-111
%V 9
%U http://geodesic.mathdoc.fr/item/ETNA_1999__9__a4/
%G en
%F ETNA_1999__9__a4
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/