Systems of derivatives of polynomials, related to Chebyshev polynomials

V.V. Dostojna

doi:10.15421/241504

Systems of derivatives of polynomials, related to Chebyshev polynomials

V.V. Dostojna (Lviv Polytechnic National University)

Abstract

Properties of the derivatives of polynomials of a complex variable that are related to Chebyshev polynomials and conditions of expansion of analytic functions in circle into series by them are investigated. Examples of such expansions are presented.

Keywords

analytic function; Chebyshev polynomials; biorthogonal system of functions; associated function

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