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

Author

Listed:
  • Şahsene Altınkaya

    (Department of Mathematics, Bursa Uludag University, 16059, Bursa, Turkey)

  • Sibel Yalçın

    (Department of Mathematics, Bursa Uludag University, 16059, Bursa, Turkey)

  • Serkan Çakmak

    (Department of Mathematics, Bursa Uludag University, 16059, Bursa, Turkey)

Abstract

In this investigation, by using the Komatu integral operator, we introduce the new class 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 of the bi-univalent function class.

Suggested Citation

  • Şahsene Altınkaya & Sibel Yalçın & Serkan Çakmak, 2019. "A Subclass of Bi-Univalent Functions Based on the Faber Polynomial Expansions and the Fibonacci Numbers," Mathematics, MDPI, vol. 7(2), pages 1-9, February.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:160-:d:204747
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