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

Mathematics

Serkan Çakmak¹  Sibel Yalçın¹  Şahsene Altınkaya¹ 

[1] Department of Mathematics, Bursa Uludag University, 16059, Bursa, Turkey;

关键词: bi-univalent functions;    subordination;    Faber polynomials;    Fibonacci numbers;    Komatu integral operator;   

DOI  :  10.3390/math7020160

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown