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.

引用

页码：1567 / 1575

页数：9

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