Geodesic
Systems of orthogonal polynomials defined by hypergeometric type equations
Electronic transactions on numerical analysis, Tome 24 (2006), pp. 45-54
A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. We present in a unified and explicit way all these systems of orthogonal polynomials, the associated special functions and the corresponding raising/lowering operators. This general formalism allows us to extend some known results to a larger class of functions.
Classification : 33C45, 81R05, 81R30
Keywords: orthogonal polynomials, associated special functions, raising operator, lowering operator, special functions 
@article{ETNA_2006__24__a8,
     author = {Cotfas,  Nicolae},
     title = {Systems of orthogonal polynomials defined by hypergeometric type equations},
     journal = {Electronic transactions on numerical analysis},
     pages = {45--54},
     year = {2006},
     volume = {24},
     zbl = {1107.33007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__24__a8/}
}
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Cotfas,  Nicolae. Systems of orthogonal polynomials defined by hypergeometric type equations. Electronic transactions on numerical analysis, Tome 24 (2006), pp. 45-54. http://geodesic.mathdoc.fr/item/ETNA_2006__24__a8/