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Strong Asymptotics of Hermite-PadéApproximants for Angelesco Systems

Published online by Cambridge University Press:  20 November 2018

Maxim L. Yattselev
Maxim L. Yattselev*
Affiliation:
Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, 402 North Blackford Street, Indianapolis, IN 46202, USA e-mail: maxyatts@math.iupui.edu
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Abstract

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In this work type II Hermite-Padé approximants for a vector of Cauchy transforms of smooth Jacobi-type densities are considered. It is assumed that densities are supported on mutually disjoint intervals (an Angelesco system with complex weights). The formulae of strong asymptotics are derived for any ray sequence of multi-indices.

Keywords

42C0541A2041A21Hermite-Padé approximationmultiple orthogonal polynomialsnon-Hermitian orthogonalitystrong asymptoticsmatrix Riemann-Hilbert approach
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 68 , Issue 5 , 01 October 2016 , pp. 1159 - 1200
Copyright
Copyright © Canadian Mathematical Society 2016

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