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Exact estimates for Faber polynomials and for norm of Faber operator

Fahreddin ABDULLAYEV

Exact estimates for Faber polynomials, norm of Faber operator, and -norm of the generating function for the sequence of Faber operator of univalent functions of class sigma are found. The description of continua of the complex plane for which the norm of Faber operator take the value 1 or 3 is obtained.

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