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arXiv · 1507.07596

Strong Asymptotics of Hermite-Pad\'e Approximants for Angelesco Systems

Maxim L. Yattselev
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Abstract

In this work type II Hermite-Pad\'e 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.

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BibTeXRIS

Maxim L. Yattselev. 2015-07-27. Strong Asymptotics of Hermite-Pad\'e Approximants for Angelesco Systems. https://doi.org/10.4153/cjm-2015-043-3

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