New Sufficient Conditions for Starlikeness of Certain Integral Operator

被引：0

作者：

Mishra, Akshaya Kumar ^{[1
]}

Panigrahi, Trailokya ^{[2
]}

机构：

[1] Berhampur Univ, Dept Math, Berhampur 760007, Orissa, India

[2] KIIT Univ, Sch Appl Sci, Dept Math, Bhubaneswar 751024, Odisha, India

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2015年 / 55卷 / 01期

关键词：

Analytic functions; Integral operator; Starlike functions;

D O I：

10.5666/KMJ.2015.55.1.109

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, a new analytic function valued integral operator is introduced which is defined on n-copies of a subset of the class of normalized analytic functions on the unit disc of the complex plane. This operator, which is denoted here by J(alpha i) (,) (beta i)(f(1) ,..., f(n)), unifies and generalizes several integral operators studied earlier. Interesting sufficient conditions are derived for the univalent starlikeness of J(alpha i) (,) (beta i)(f(1) ,..., f(n)).

引用

页码：109 / 118

页数：10

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