Properties of the second-kind Chebyshev polynomials of complex variable

We construct a system of functions biorthogonal with Chebyshev polynomials of the second kind on closed contours in the complex plane. Properties of these functions and sufficient conditions of expansion of analytic functions into series in Chebyshev polynomials of the second kind in complex domains...

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Bibliographic Details
Main Authors: O.V. Veselovska, V.V. Dostoina, M.I. Klapchuk
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2020-12-01
Series:Researches in Mathematics
Subjects:
Online Access:https://vestnmath.dnu.dp.ua/index.php/rim/article/view/133/133