On a class of analytic functions related to conic domains and associated with Carlson-Shaffer operator |
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| Authors: | S Hussain J Sokół |
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| Institution: | 1. Mathematics Department, COMSATS Institute of Information Technology, Abbottabad, Pakistan;2. Department of Mathematics, Rzeszów University of Technology, ul. W. Pola 2, 35-959 Rzeszów, Poland |
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| Abstract: | 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. |
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| Keywords: | Hadamard product (or convolution) differential subordination Carlson&ndash Shaffer operator κ-starlike functions κ-uniformly convex function |
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