Faber Polynomial Coefficient Estimates for a Subclass of Analytic Bi-univalent Functions


Bulut S.

FILOMAT, vol.30, no.6, pp.1567-1575, 2016 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 30 Issue: 6
  • Publication Date: 2016
  • Doi Number: 10.2298/fil1606567b
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1567-1575
  • Kocaeli University Affiliated: Yes

Abstract

In this work, considering a general subclass of analytic bi-univalent functions, we determine estimates for the general Taylor-Maclaurin coefficients of the functions in this class. For this purpose, we use the Faber polynomial expansions. In certain cases, our estimates improve some of those existing coeffcient bounds.