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19992007
most citedNormal matrix models, dbar-problem, and orthogonal polynomials on the complex plane

14 citations · 18 across the 4 of their papers we have counts for

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math.CA2007★ 14 cited

Normal matrix models, dbar-problem, and orthogonal polynomials on the complex plane

Alexander R. Its, Leon A. Takhtajan

We introduce a dbar-formulation of the orthogonal polynomials on the complex plane, and hence of the related normal matrix model, which is expected to play the same role as the Rie…

math.FA2007

Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump

A. Its, I. Krasovsky

We obtain asymptotics in n for the n-dimensional Hankel determinant whose symbol is the Gaussian multiplied by a step-like function. We use Riemann-Hilbert analysis of the related…