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 - maxyatts@iupui.edu
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.