Properties of the second-kind Chebyshev polynomials of complex variable release_mhkvcyaawnay7nasqsur7nuoly

by Olga Veselovska, Veronika Dostoina, Myroslava Klapchuk

Published in Researches in Mathematics by Oles Honchar Dnipropetrovsk National University.

2020   Volume 28, p35


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 are investigated. The examples of such expansions are given. In addition, combinatorial identities of self-interest are obtained.
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Date   2020-12-28
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