Subordination Results of Analytic Functions Defined by Convolution


  • A. A. Hussain Department of Mathematics, Faculty of Education, Sirte University, Libya.
  • M. K. Aouf Department of Mathematics, Faculty of Science, Mansura University, Egypt.
  • A. O. Mostafa Department of Mathematics, Faculty of Science, Mansura University, Egypt.



Analytic function, univalent functions, Hadamard product, subordinating, factor sequence


The purpose of this paper is to study some known interesting subordination results for analytic functions defined in the open unite disk U={z∈C:|z|<1}. Especially, it is to obtain subordination results for a family of univalent functions which are defined by means of the convolution. Relevant connections of the results presented here with those obtained in earlier works are also pointed out. However, our results generalize and extend some earlier results in the literature.


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