Strong Asymptotics of Hermite-Padé Approximants for Angelesco Systems
Printed: Oct 2016
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.
Hermite-Padé approximation, multiple orthogonal polynomials, non-Hermitian orthogonality, strong asymptotics, matrix Riemann-Hilbert approach
42C05 - Orthogonal functions and polynomials, general theory [See also 33C45, 33C50, 33D45]
41A20 - Approximation by rational functions
41A21 - Pade approximation