Title: Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Pade approximants and complex orthogonal polynomials with varying weight
Authors: Aptekarev, AI ×
Van Assche, Walter #
Issue Date: 2004
Publisher: Academic press inc elsevier science
Series Title: Journal of approximation theory vol:129 issue:2 pages:129-166
Abstract: We describe methods for the derivation of strong asymptotics for the denominator polynomials and the remainder of Pade approximants for a Markov function with a complex and varying weight. Two approaches, both based on a Riemann-Hilbert problem, are presented. The first method uses a scalar Riemann-Hilbert boundary value problem on a two-sheeted Riemann surface, the second approach uses a matrix Riemann-Hilbert problem. The result for a varying weight is not with the most general conditions possible, but the loss of generality is compensated by an easier and transparent proof. (C) 2004 Elsevier Inc. All rights reserved.
ISSN: 0021-9045
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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