[Représenta\-tions intégrales pour les polynômes d'Hermite et de Laguerre multiples]
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.
We give integral representations for multiple Hermite and multiple Laguerre polynomials of both type I and II. We also show how these are connected with double integral representations of certain kernels from random matrix theory.
Keywords: Multiple orthogonal polynomials, random matrices, Christoffel-Darboux formula
Mot clés : polynômes orthogonaux multiples, matrices aléatoires, formule de Christoffel-Darboux
@article{AIF_2005__55_6_2001_0,
author = {M. BLEHER, Pavel and B.J. Kuijlaars, Arno},
title = {Integral representations for multiple {Hermite} and multiple {Laguerre} polynomials},
journal = {Annales de l'Institut Fourier},
pages = {2001--2014},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {55},
number = {6},
year = {2005},
doi = {10.5802/aif.2148},
mrnumber = {2187942},
zbl = {1084.33008},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/aif.2148/}
}
TY - JOUR AU - M. BLEHER, Pavel AU - B.J. Kuijlaars, Arno TI - Integral representations for multiple Hermite and multiple Laguerre polynomials JO - Annales de l'Institut Fourier PY - 2005 SP - 2001 EP - 2014 VL - 55 IS - 6 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2148/ DO - 10.5802/aif.2148 LA - en ID - AIF_2005__55_6_2001_0 ER -
%0 Journal Article %A M. BLEHER, Pavel %A B.J. Kuijlaars, Arno %T Integral representations for multiple Hermite and multiple Laguerre polynomials %J Annales de l'Institut Fourier %D 2005 %P 2001-2014 %V 55 %N 6 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.2148/ %R 10.5802/aif.2148 %G en %F AIF_2005__55_6_2001_0
M. BLEHER, Pavel; B.J. Kuijlaars, Arno. Integral representations for multiple Hermite and multiple Laguerre polynomials. Annales de l'Institut Fourier, Tome 55 (2005) no. 6, pp. 2001-2014. doi : 10.5802/aif.2148. http://archive.numdam.org/articles/10.5802/aif.2148/
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