COEFFICIENT ESTIMATES FOR A SUBCLASS OF ANALYTIC BI-UNIVALENT FUNCTIONS

被引：18

作者：

Adegani, Ebrahim Analouei ^{[1
]}

Bulut, Serap ^{[2
]}

Zireh, Ahmad ^{[1
]}

机构：

[1] Shahrood Univ Technol, Dept Math, POB 316-36155, Shahrood, Iran

[2] Kocaeli Univ, Fac Aviat & Space Sci, Arslanbey Campus, TR-41285 Kartepe Kocaeli, Turkey

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2018年 / 55卷 / 02期

关键词：

analytic functions; univalent functions; bi-univalent functions; coefficient estimates; Faber polynomials; subordination; FABER POLYNOMIALS; BOUNDS;

D O I：

10.4134/BKMS.b170051

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we use the Faber polynomial expansions to find upper bounds for the coefficients of analytic bi-univalent functions in subclass Sigma(tau,gamma,phi) which is defined by subordination conditions in the open unit disk U. In certain cases, our estimates improve some of those existing coefficient bounds.

引用

页码：405 / 413

页数：9

共 17 条

[1] Differential calculus on the Faber polynomials [J].