New subclasses of meromorphic bi-univalent functions by associated with subordinate | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 6، دوره 12، شماره 2، بهمن 2021، صفحه 61-74 اصل مقاله (424.69 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.17405.1933 | ||
| نویسندگان | ||
| Safa Salehian* 1؛ Ahmad Motamednezhad2 | ||
| 1Department of Mathematics, Gorgan Branch, Islamic Azad University, Gorgan, Iran | ||
| 2Faculty of Mathematical Sciences, Shahrood University of Technology, P.O. Box 316-36155, Shahrood, Iran | ||
| چکیده | ||
| In the present paper, we define two subclasses $\Sigma(\lambda, \alpha, \beta)$, $\Sigma_{\mathcal C}(\alpha, \beta)$ of meromorphic univalent functions and subclass $\Sigma_{{\mathcal B},{\mathcal C}}(\alpha, \beta, \lambda)$ of meromorphic bi-univalent functions. Furthermore, we obtain estimates on the general coefficients $|b_n|~(n \ge1)$ for functions in the subclasses $\Sigma(\lambda, \alpha, \beta)$, $\Sigma_{\mathcal C}(\alpha, \beta)$ and estimates for the early coefficients of functions in subclass $\Sigma_{{\mathcal B},{\mathcal C}}(\alpha, \beta, \lambda)$ by associated subordination. The results obtained in this paper would generalize and improve those in related works of several earlier authors. | ||
| کلیدواژهها | ||
| Meromorphic univalent functions؛ Meromorphic bi-univalent functions؛ Coefficients estimates؛ Subordinate | ||
| مراجع | ||
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