Differential Equation for Classical-Type Orthogonal Polynomials
Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 404-411
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The second order differential equation of Littlejohn-Shore for Laguerre type orthogonal polynomials is generalized in two ways. First the positive Dirac mass can be situated at any point and secondly the weight can be any classical weight modified by an arbitrary number of Dirac distributions.
Ronveaux, A.; Marcellan, F. Differential Equation for Classical-Type Orthogonal Polynomials. Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 404-411. doi: 10.4153/CMB-1989-058-5
@article{10_4153_CMB_1989_058_5,
author = {Ronveaux, A. and Marcellan, F.},
title = {Differential {Equation} for {Classical-Type} {Orthogonal} {Polynomials}},
journal = {Canadian mathematical bulletin},
pages = {404--411},
year = {1989},
volume = {32},
number = {4},
doi = {10.4153/CMB-1989-058-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-058-5/}
}
TY - JOUR AU - Ronveaux, A. AU - Marcellan, F. TI - Differential Equation for Classical-Type Orthogonal Polynomials JO - Canadian mathematical bulletin PY - 1989 SP - 404 EP - 411 VL - 32 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-058-5/ DO - 10.4153/CMB-1989-058-5 ID - 10_4153_CMB_1989_058_5 ER -
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