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On certain properties for new subclass of meromorphic starlike functions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 22، دوره 12، شماره 1، مرداد 2021، صفحه 273-285 اصل مقاله (386.8 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4783 | ||
| نویسندگان | ||
| Sirous Moradi* 1؛ Mohammad Taati2 | ||
| 1Department of Mathematics, Faculty of science, Lorestan University, 68151-4-4316, Khorramabad, Iran | ||
| 2Department of Mathematics, Faculty of science, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran | ||
| تاریخ دریافت: 21 خرداد 1399، تاریخ بازنگری: 26 آذر 1399، تاریخ پذیرش: 17 دی 1399 | ||
| چکیده | ||
| In this paper we studying some properties of starlike function of order $\lambda$ which satisfy in the condition $$\Re(\frac{zf^{'}(z)}{f(z)}+\alpha\frac{z^{2}f^{''}(z)}{f(z)})<1-\lambda+\alpha$$ \\for all $z\in U=\{z:|z|<1\}$, where $f(z)=1+\sum_{k=1}^\infty a_{k}z^{k}$ is analytic in $U$, $0\leqslant\alpha<2$ and $0\leqslant\lambda<1$. Our results extend previos results given by Aghalary et al. (2009) and Wang et al.(2014). | ||
| کلیدواژهها | ||
| Starlike function؛ Meromorphic function؛ Hadamard product؛ Analytic function | ||
| مراجع | ||
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