On a class of analytic functions related to conic domains and associated with Carlson-Shaffer operator

详细信息	查看全文 | 推荐本文 |

• 作者：S. Hussain^a ; ^{saqib_math@yahoo.com} ; J. Sokó ; 艂^b ; ^{jsokol@prz.edu.pl}
• 关键词：Hadamard product (or convolution) ; differential subordination ; Carlson&ndash ; Shaffer operator ; 魏-starlike functions ; 魏-uniformly convex function
• 刊名：Acta Mathematica Scientia
• 出版年：2012
• 期刊代码：1_02529602
• 类别：mt
• 出版时间：July, 2012
• 卷：32
• 期：4
• 页码：1399-1407
• 文件大小：276 K

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 investigat 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.