A subclass of bi-univalent functions based on the faber polynomial expansions and the Fibonacci numbers

Altinkaya Ş., YALÇIN TOKGÖZ S., çakmak 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
  • Istanbul Gelisim University Affiliated: No

Abstract

In this investigation, by using the Komatu integral operator, we introduce the new class L Σ,t η,ρ (p) 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 |an| of the bi-univalent function class.