Exact estimates for Faber polynomials and for norm of Faber operator

ABDULLAYEV F., Savchuk V., Tunç T.

Complex Variables and Elliptic Equations, vol.65, no.2, pp.293-305, 2020 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 65 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.1080/17476933.2019.1591379
  • Journal Name: Complex Variables and Elliptic Equations
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.293-305
  • Keywords: 30C45, 30C50, Faber operator, Faber polynomials, logarithmic coefficients, Univalent functions, V. Bolotnikov
  • Uşak University Affiliated: No

Abstract

Exact estimates for Faber polynomials, norm of Faber operator, and L1-norm of the generating function for the sequence of Faber operator of univalent functions of class Σ 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.