Integral representations for multiple Hermite and multiple Laguerre polynomials
Annales de l'Institut Fourier, Volume 55 (2005) no. 6, p. 2001-2014
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.
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.
DOI : https://doi.org/10.5802/aif.2148
Classification:  42C05,  15A52
Keywords: Multiple orthogonal polynomials, random matrices, Christoffel-Darboux formula 
@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},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {55},
     number = {6},
     year = {2005},
     pages = {2001-2014},
     doi = {10.5802/aif.2148},
     mrnumber = {2187942},
     zbl = {1084.33008},
     language = {en},
     url = {https://aif.centre-mersenne.org/item/AIF_2005__55_6_2001_0}
}

Integral representations for multiple Hermite and multiple Laguerre polynomials. Annales de l'Institut Fourier, Volume 55 (2005) no. 6, pp. 2001-2014. doi : 10.5802/aif.2148. https://aif.centre-mersenne.org/item/AIF_2005__55_6_2001_0/

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