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

doi:10.1016/S0252-9602(12)60108-8

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (4): 1399-1407.doi: 10.1016/S0252-9602(12)60108-8

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

S. HUSSAIN¹, J. SOKÓL²

1.Mathematics Department, COMSATS Institute of Information Technology, Abbottabad, Pakistan|2.Department of Mathematics, Rzesz´ow University of Technology, ul. W. Pola 2, 35-959 Rzesz´ow, Poland

收稿日期:2010-12-10 修回日期:2011-10-26 出版日期:2012-07-20 发布日期:2012-07-20

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

S. HUSSAIN¹, J. SOKÓL²

1.Mathematics Department, COMSATS Institute of Information Technology, Abbottabad, Pakistan|2.Department of Mathematics, Rzesz´ow University of Technology, ul. W. Pola 2, 35-959 Rzesz´ow, Poland

Received:2010-12-10 Revised:2011-10-26 Online:2012-07-20 Published:2012-07-20

摘要/Abstract

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.

关键词: Hadamard product (or convolution), differential subordination, Carlson-Shaffer operator, k-starlike functions, k-uniformly convex function

Abstract:

Key words: Hadamard product (or convolution), differential subordination, Carlson-Shaffer operator, k-starlike functions, k-uniformly convex function

中图分类号:

30C45

S. HUSSAIN, J. SOKóL. ON A CLASS OF ANALYTIC FUNCTIONS RELATED TO CONIC DOMAINS AND ASSOCIATED WITH CARLSON-SHAFFER OPERATOR[J]. 数学物理学报(英文版), 2012, 32(4): 1399-1407.

S. HUSSAIN, J. SOKóL. ON A CLASS OF ANALYTIC FUNCTIONS RELATED TO CONIC DOMAINS AND ASSOCIATED WITH CARLSON-SHAFFER OPERATOR[J]. Acta mathematica scientia,Series B, 2012, 32(4): 1399-1407.

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

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

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