Systems of derivatives of polynomials, related to Chebyshev polynomials

V.V. Dostojna (Lviv Polytechnic National University)


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.


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


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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991