ON A CLASS OF ANALYTIC FUNCTIONS RELATED TO CONIC DOMAINS AND ASSOCIATED WITH CARLSON-SHAFFER OPERATOR

被引：0

作者：

Hussain, S. ^{[1
]}

Sokol, J. ^{[2
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Abbottabad, Pakistan

[2] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 04期

关键词：

Hadamard product (or convolution); differential subordination; Carlson-Shaffer operator; k-starlike functions; k-uniformly convex function; UNIFORMLY CONVEX-FUNCTIONS; UNIVALENT-FUNCTIONS; HYPERGEOMETRIC-FUNCTIONS; STARLIKE FUNCTIONS; SUBCLASSES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Making use of the Carlson-Shaffer convolution operator, we introduce and study a new class of analytic functions related to conic domains. The main object of this paper is to investigate inclusion relations, coefficient bound for this class. We also show that this class is closed under convolution with a convex function. Some applications are also discussed.

引用

页码：1399 / 1407

页数：9

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