FoCM 2014 conference

Workshop C5 - Special Functions and Orthogonal Polynomials

December 20, 15:30 ~ 16:00 - Room A21

Hermite-Padé Approximants for Angelesco Systems

Maxim Yattselev

Indiana University-Purdue University Indianapolis, USA   -

I will discuss asymptotics of type II Hermite-Padé approximants (a vector of rational functions with a common denominator) for a vector of Cauchy transforms of analytic densities along any ray of multi-indices. It is assumed that the densities are supported on mutually disjoint intervals (an Angelesco system with complex weights). The formulae of strong asymptotics will be presented, the relevant Riemann surfaces discussed as well as some details of the local Riemann-Hilbert analysis.

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