Subordinating results of classes of multivalent meromorphic functions | ||
| Journal of Fractional Calculus and Applications | ||
| Volume 16, Issue 2, 2025, Pages 1-12 PDF (225.64 K) | ||
| Document Type: Regular research papers | ||
| DOI: 10.21608/jfca.2025.410023.1191 | ||
| Authors | ||
| mohamed mowafy* 1; Adela Moustafa2; samar M Madian3 | ||
| 1mansoura university faculty of science | ||
| 2mansoura university- faculty of science | ||
| 3Higher Institute of Engineering and Technology New Damietta, Egypt. | ||
| Abstract | ||
| In this paper, we defined a class of meromorphic functions which are analytic and multivalent in punctured unit disk. After that by using the operator which are defined by (see Mostafa [7]) we defined a new operator using meromorphic functions which are analytic and multivalent in punctured unit disk. Also in the present paper we defined a new class of meromorphic functions by using this new operator. Furthermer we use the concepts of differential subordination and Hadamard product or (convolution) in our proving theorems. Plus more we use the definition of hypergeometric function in our proof. After that we derive several inclusion relationships for this class. In order to prove our main results we need the following Lemmas which presented in our paper. Also we investigate some properties of certain classes of p-valent meromorphic functions by making use of the method of differential subordination, which are defined by means of a certain operator | ||
| Keywords | ||
| Analytic functions; linear operator; differential subordination; dominant and best dominant | ||
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