Orthogonal polynomials and recurrence equations, operator equations and factorization
Electronic transactions on numerical analysis, Tome 27 (2007), pp. 113-123
This article surveys the classical orthogonal polynomial systems of the Hahn class, which are solutions of second-order differential, difference or -difference equations.
Classification :
33C45, 33C20, 33D45, 33D15, 39A70
Keywords: orthogonal polynomials, hahn class, differential equations, difference equations, -difference equa- $\textcent $tions, hypergeometric functions, factorization of operator polynomials, computer algebra, Maple
Keywords: orthogonal polynomials, hahn class, differential equations, difference equations, -difference equa- $\textcent $tions, hypergeometric functions, factorization of operator polynomials, computer algebra, Maple
@article{ETNA_2007__27__a4,
author = {Koepf, Wolfram},
title = {Orthogonal polynomials and recurrence equations, operator equations and factorization},
journal = {Electronic transactions on numerical analysis},
pages = {113--123},
year = {2007},
volume = {27},
zbl = {1176.33012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2007__27__a4/}
}
Koepf, Wolfram. Orthogonal polynomials and recurrence equations, operator equations and factorization. Electronic transactions on numerical analysis, Tome 27 (2007), pp. 113-123. http://geodesic.mathdoc.fr/item/ETNA_2007__27__a4/