Geodesic
Systems of orthogonal polynomials defined by hypergeometric type equations
Electronic transactions on numerical analysis, Tome 24 (2006), pp. 45-54
Zbl   arXiv   EuDML
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 
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/
@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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