A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants

In this paper, we will formulate 4×4 Riemann-Hilbert problems for Toeplitz+Hankel determinants and the associated system of orthogonal polynomials, when the Hankel symbol is supported on the unit circle and also when it is supported on an interval [a, b], 0 < a < b < 1. The distinguishing f...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Authors: Gharakhloo, Roozbeh, Its, Alexander
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211020
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants. Roozbeh Gharakhloo and Alexander Its. SIGMA 16 (2020), 100, 47 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine