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Mathematics 2019, 7(2), 160; https://doi.org/10.3390/math7020160

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

Department of Mathematics, Bursa Uludag University, 16059, Bursa, Turkey
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Received: 10 December 2018 / Revised: 8 January 2019 / Accepted: 9 January 2019 / Published: 11 February 2019
(This article belongs to the Special Issue Special Functions and Applications)
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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. View Full-Text
Keywords: bi-univalent functions; subordination; Faber polynomials; Fibonacci numbers; Komatu integral operator bi-univalent functions; subordination; Faber polynomials; Fibonacci numbers; Komatu integral operator
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Altınkaya, Ş.; Yalçın, S.; Çakmak, S. A Subclass of Bi-Univalent Functions Based on the Faber Polynomial Expansions and the Fibonacci Numbers. Mathematics 2019, 7, 160.

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