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

Altinkaya Ş., YALÇIN TOKGÖZ S., çakmak S.

Mathematics, cilt.7, sa.2, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3390/math7020160
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: bi-univalent functions, subordination, Faber polynomials, Fibonacci numbers, Komatu integral operator
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

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.