A new univalent integral operator defined by the Opoola differential operator | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 5، دوره 15، شماره 8، آبان 2024، صفحه 53-64 اصل مقاله (408.35 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.30730.4477 | ||
| نویسندگان | ||
| Bitrus Sambo* 1؛ Timothy Oloyede Opoola2 | ||
| 1Department of Mathematics, Gombe State University, P.M.B. 127, Gombe, Nigeria | ||
| 2Department of Mathematics, University of Ilorin, P.M.B. 1515, Ilorin, Nigeria | ||
| چکیده | ||
| In this investigation, using Opoola differential operator ($D^{m}(\mu,\beta,t)f(z)$), a new integral operator: $I_{t,\beta,\mu}^{m,\sigma}(f_{1},...,f_{n})(z): A^{n}\rightarrow A$ is defined in the unit disk, $U=\left\lbrace z\in C:\left|z\right|<1\right\rbrace$; and we investigated the Univalence conditions of this generalized operator. Finally, a number of corollaries and remarks which show the extension of our results are presented. | ||
| کلیدواژهها | ||
| Analytic functions؛ Univalent functions starlike functions؛ convex functions؛ close-to-convex functions؛ Integral operator | ||
| مراجع | ||
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