Faber Polynomial Coefficient Estimates for a Subclass of Analytic Bi-univalent Functions

被引：27
|
作者：
Bulut, Serap [1 ]
机构：
[1] Kocaeli Univ, Civil Aviat Coll, Arslanbey Campus, TR-41285 Izmit, Turkey
来源：
FILOMAT | 2016年 / 30卷 / 06期
关键词：
Analytic functions; Univalent functions; Bi-univalent functions; Taylor-Maclaurin series expansion; Coefficient bounds and coefficient estimates; Taylor-Maclaurin coefficients; Faber polynomials; GENERAL SUBCLASS; BOUNDS;
D O I：
10.2298/FIL1606567B
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, considering a general subclass of analytic bi-univalent functions, we determine estimates for the general Taylor-Maclaurin coefficients of the functions in this class. For this purpose, we use the Faber polynomial expansions. In certain cases, our estimates improve some of those existing coeffcient bounds.
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页码：1567 / 1575
页数：9
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