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Estimation on initial coefficient bounds of generalized subclasses of bi-univalent functions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 82، دوره 13، شماره 2، مهر 2022، صفحه 989-997 اصل مقاله (460.66 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.23092.2613 | ||
| نویسندگان | ||
| Ranjan Suresh Khatu* 1؛ Uday H. Naik2؛ Amol B. Patil3 | ||
| 1Department of Mathematics, Arts, Commerce and Science College, Lanja-416701, India | ||
| 2Department of Mathematics, Willingdon College, Sangli-416415, India | ||
| 3Department of First Year Engineering, AISSMS College of Engineering, Pune-411001, India | ||
| تاریخ دریافت: 06 تیر 1400، تاریخ بازنگری: 06 بهمن 1400، تاریخ پذیرش: 17 بهمن 1400 | ||
| چکیده | ||
| In the present investigation, we introduce the two subclasses $S^{\alpha}_{\Sigma}(\gamma, \rho, \lambda, \mu, \xi, \delta)$ and $S_{\Sigma}(\gamma, \rho, \lambda, \mu, \xi, \delta;\beta)$ of normalized analytic bi-univalent functions defined in the open unit disk and associated with the Ruscheweyh's operator. Further, we obtain bounds for the second and third Taylor-Maclaurin coefficients of the functions belong to these subclasses. We also provide relevant connections with earlier investigations of other researchers. | ||
| کلیدواژهها | ||
| Analytic function؛ Univalent function؛ Convolution؛ Coefficient bounds؛ Bi-univalent function | ||
| مراجع | ||
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