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Strong asymptotics for the Pollaczek multiple orthogonal polynomials

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 2015 English Publisher:Pleiades Publishing LtdJournal:Doklady Mathematics, volume 92, pages 709-713 (issn: 1064-5624, eissn: 1531-8362, Copyright policy )
Authors: Alexander Ivanovich Aptekarev; G. López Lagomasino; Andrei Martínez-Finkelshtein;

doi: 10.1134/s1064562415060216

handle: 10016/23258

Strong asymptotics for the Pollaczek multiple orthogonal polynomials

Abstract

The asymptotic properties of multiple orthogonal polynomials with respect to two Pollaczek weights with different parameters are considered. This set of weights is a Nikishin system generated by two measures with unbounded supports; moreover, the second measure is discrete. During the last years, multiple orthogonal polynomials with respect to Nikishin systems of this type have found wide applications in the theory of random matrices. Strong asymptotic formulas for the polynomials under consideration are obtained by means of the matrix Riemann-Hilbert method.

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Keywords

Matemáticas, Systems, External Source, Hermite-Pade Approximants, Random Matrices

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