On a class of univalent functions

被引：3

作者：

Obradovic, M. ^{[2
]}

Ponnusamy, S. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

[2] Univ Belgrade, Fac Civil Engn, Dept Math, Belgrade 11000, Serbia

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 10期

关键词：

Coefficient inequality; Analytic; Hadamard convolution; Univalent and starlike functions; CONVOLUTION;

D O I：

10.1016/j.aml.2011.12.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be the class of analytic functions in the unit disk D with the normalization f(0) = f'(0) - 1 = 0. Denote by N the class of functions f is an element of A which satisfy the condition vertical bar-z(3)(z/f(s))''' + f'(z) (z/f(z))(2) - 1 vertical bar <= 1, z is an element of D. We show the functions in N are univalent in D but not necessarily starlike. Also, we present the characterization of formula, necessary and sufficient coefficient conditions for functions to be in the class N. (C) Elsevier Ltd. All rights reserved.

引用

页码：1373 / 1378

页数：6

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