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

Şahsene Altınkaya, Sibel Yalçın and Serkan Çakmak
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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

Mathematics, 2019, vol. 7, issue 2, 1-9

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.

Keywords: bi-univalent functions; subordination; Faber polynomials; Fibonacci numbers; Komatu integral operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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