Orthogonal Polynomials for Potentials of two Variables with External Sources

Details Orthogonal Polynomials for Potentials of two Variables with External Sources Orthogonal Polynomials for Potentials of two Variables with External Sources

2003-11-24

arxiv.org/abs/hep-th/0311227v1

Physics

High Energy Physics

High Energy Physics - Theory

latex poly.tex, 1 file, 33 pages [SPhT-T03/180], submitted to Commun. Math. Phys.http://www-spht.cea.fr/articles/T03/180 SPhT-

Scientific paper

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.

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