On generalisation of Brown's conjecture | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 1151-1155 اصل مقاله (300.1 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22265.2343 | ||
| نویسندگان | ||
| Ishfaq Nazir* ؛ Mohammad Ibrahim Mir؛ Irfan Ahmad Wani | ||
| Department of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, India | ||
| چکیده | ||
| Let $P$ be the complex polynomial of the form $P(z) = z \prod_{j=1}^{n-1}(z-z_{j})$, with $|z_{j}|\geq 1$, $1 \leq j \leq n-1.$ Then according to famous Brown's Conjecture $p'(z) \neq 0$, for $|z| < \frac{1}{n}.$ This conjecture was proved by Aziz and Zarger [1]. In this paper, we present some interesting generalisations of this conjecture and the results of several authors related to this conjecture. | ||
| کلیدواژهها | ||
| polynomial؛ disk؛ zeros؛ derivative؛ conjecture | ||
| مراجع | ||
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