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Biorthogonal Polynomials for Potentials of two Variables and External Sources at the Denominator
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In this article, 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 were constructed.Abstract:
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).read more
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Skew-orthogonal Laguerre polynomials for chiral real asymmetric random matrices
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Orthogonal Polynomials for Potentials of two Variables with External Sources
TL;DR: In this article, the Christoffel construction of orthogonal polynomials for potentials of one variable with external sources is extended to biorthogonal and generalized Schur polynomorphisms.
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