Riemann-Hilbert analysis for a Nikishin system

Published 21 Dec 2016 in math.CA | (1612.07108v4)

Abstract: In this paper we give the asymptotic behavior of type I multiple orthogonal polynomials for a Nikishin system of order two with two disjoint intervals. We use the Riemann-Hilbert problem for multiple orthogonal polynomials and the steepest descent analysis for oscillatory Riemann-Hilbert problems to obtain the asymptotic behavior in all relevant regions of the complex plane.

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