Biorthogonal Polynomials for Potentials of two Variables and External Sources at the Denominator

Details Biorthogonal Polynomials for Potentials of two Variables and External Sources at the Denominator Biorthogonal Polynomials for Potentials of two Variables and External Sources at the Denominator

2004-04-19

arxiv.org/abs/hep-th/0404126v1

Physics

High Energy Physics

High Energy Physics - Theory

latex Poly3.tex, 1 file, 25 pages http://www-spht.cea.fr/articles/T04/042 [SPhT-T04/042]

Scientific paper

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).

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