On a class of multivalent meromorphic functions defined by the combinational differential operator | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 2، دوره 16، شماره 11، بهمن 2025، صفحه 17-30 اصل مقاله (387.97 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.35082.5237 | ||
| نویسندگان | ||
| Mohammadreza Foroutan* 1؛ Mostafa Soltani1؛ Ali Ebadian2 | ||
| 1Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran | ||
| 2Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran | ||
| چکیده | ||
| In this paper, we define a class of meromorphically multivalent functions in $\mathbb{U^{\ast}}=\{z:z\in\mathbb{C}:0<|z|<1\}$ by using a differential operator. Important properties of this class such as coefficient estimates, distortion theorem, radius of starlikeness and convexity, closure theorems, and convolution properties are obtained. We also study $\delta$-neighboorhoods and partial sums for this class. | ||
| کلیدواژهها | ||
| meromorphic functions؛ multi-valent functions؛ differential operator؛ coefficient estimates؛ convolution؛ neighborhoods | ||
| مراجع | ||
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