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Pavel M. BLEHER; Arno B.J. Kuijlaars
Integral representations for multiple Hermite and multiple Laguerre polynomials
(Représenta\-tions intégrales pour les polynômes d'Hermite et de Laguerre multiples)
Annales de l'institut Fourier, 55 no. 6 (2005), p. 2001-2014, doi: 10.5802/aif.2148
Article PDF | Analyses MR 2187942 | Zbl 1084.33008
Class. Math.: 42C05, 15A52
Mots clés: polynômes orthogonaux multiples, matrices aléatoires, formule de Christoffel-Darboux

Résumé - Abstract

On présente des représentations intégrales doubles pour les polynômes d'Hermite et de Laguerre multiples, aussi bien ceux de type I que ceux de type II. On montre aussi la connexion avec les représentations intégrales de certains noyaux de la théorie des matrices aléatoires.

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