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On smooth perturbations of Chebyshëv polynomials and $ \bar {\partial } $-Riemann–Hilbert method
Published online by Cambridge University Press: 24 February 2022
Abstract
$\bar {\partial } $
-extension of the matrix Riemann–Hilbert method is used to study asymptotics of the polynomials
$ P_n(z) $
satisfying orthogonality relations
where $ \rho (x) $ is a positive $ m $ times continuously differentiable function on $ [-1,1] $ , $ m\geq 3 $ .
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- © Canadian Mathematical Society, 2022
Footnotes
The research was supported by a grant from the Simons Foundation, CGM-706591.