Exact estimates for Faber polynomials and for norm of Faber operator

ABDULLAYEV F., Savchuk V., Tunç T.

Complex Variables and Elliptic Equations, cilt.65, sa.2, ss.293-305, 2020 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 65 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1080/17476933.2019.1591379
  • Dergi Adı: Complex Variables and Elliptic Equations
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.293-305
  • Anahtar Kelimeler: 30C45, 30C50, Faber operator, Faber polynomials, logarithmic coefficients, Univalent functions, V. Bolotnikov
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.