Integral representations for multiple Hermite and multiple Laguerre polynomials

Pavel M. BLEHER[1]; Arno B.J. Kuijlaars

  • [1] Indiana University-Purdue University Indianapolis, department of mathematical sciences, 402 N. Blackford St., Indianapolis IN 46202 (USA), Katholieke Universiteit Leuven, department of mathematics, Celestijnenlaan 200 B, 3001 Leuven (Belgique)

Annales de l’institut Fourier (2005)

  • Volume: 55, Issue: 6, page 2001-2014
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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M. BLEHER, Pavel, and B.J. Kuijlaars, Arno. "Integral representations for multiple Hermite and multiple Laguerre polynomials." Annales de l’institut Fourier 55.6 (2005): 2001-2014. <http://eudml.org/doc/116240>.

@article{M2005,
abstract = {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.},
affiliation = {Indiana University-Purdue University Indianapolis, department of mathematical sciences, 402 N. Blackford St., Indianapolis IN 46202 (USA), Katholieke Universiteit Leuven, department of mathematics, Celestijnenlaan 200 B, 3001 Leuven (Belgique)},
author = {M. BLEHER, Pavel, B.J. Kuijlaars, Arno},
journal = {Annales de l’institut Fourier},
keywords = {Multiple orthogonal polynomials; random matrices; Christoffel-Darboux formula},
language = {eng},
number = {6},
pages = {2001-2014},
publisher = {Association des Annales de l'Institut Fourier},
title = {Integral representations for multiple Hermite and multiple Laguerre polynomials},
url = {http://eudml.org/doc/116240},
volume = {55},
year = {2005},
}

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
PB - Association des Annales de l'Institut Fourier
VL - 55
IS - 6
SP - 2001
EP - 2014
AB - 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.
LA - eng
KW - Multiple orthogonal polynomials; random matrices; Christoffel-Darboux formula
UR - http://eudml.org/doc/116240
ER -

References

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