Biorthogonal Polynomials for Potentials of two Variables and External Sources at the Denominator
Abstract
Description
We construct biorthogonal polynomials for a measure over the complex plane which consists in the exponential of a potential V(z,z*) and in a set of external sources at the numerator and at the denominator. We use the pseudonorm of these polynomials to calculate the resolvent integral for correlation functions of traces of powers of complex matrices (under certain conditions).
latex Poly3.tex, 1 file, 25 pages http://www-spht.cea.fr/articles/T04/042 [SPhT-T04/042]
latex Poly3.tex, 1 file, 25 pages http://www-spht.cea.fr/articles/T04/042 [SPhT-T04/042]