Orthogonal Polynomials for Potentials of two Variables with External Sources
High Energy Physics - Theory
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
This publication is an exercise which extends to two variables the Christoffel's construction of orthogonal polynomials for potentials of one variable with external sources. We generalize the construction to biorthogonal polynomials. We also introduce generalized Schur polynomials as a set of orthogonal, symmetric, non homogeneous polynomials of several variables, attached to Young tableaux.
Cite
@article{arxiv.hep-th/0311227,
title = {Orthogonal Polynomials for Potentials of two Variables with External Sources},
author = {M. C. Bergère},
journal= {arXiv preprint arXiv:hep-th/0311227},
year = {2007}
}
Comments
latex poly.tex, 1 file, 33 pages [SPhT-T03/180], submitted to Commun. Math. Phys.http://www-spht.cea.fr/articles/T03/180 SPhT-T03/180