A Subclass of Bi-Univalent Functions Based on the Faber Polynomial Expansions and the Fibonacci Numbers

Altınkaya Ş., Yalcin S., Cakmak S.

MATHEMATICS, vol.7, no.2, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.3390/math7020160
  • Journal Name: MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: bi-univalent functions, subordination, Faber polynomials, Fibonacci numbers, Komatu integral operator, COEFFICIENT
  • Bursa Uludag University Affiliated: Yes

Abstract

In this investigation, by using the Komatu integral operator, we introduce the new class ( pound eta,rho)(Sigma,t)((rho) over tilde of bi-univalent functions based on the rule of subordination. Moreover, we use the Faber polynomial expansions and Fibonacci numbers to derive bounds for the general coefficient vertical bar a(n)vertical bar of the bi-univalent function class.