### On some generalisations of Brown's conjecture

Document Type : Research Paper

Authors

Department of Mathematics, University of Kashmir, Hazratbal, Srinagar, India

Abstract

Let $P$ be a complex polynomial of the form $P(z)=z\displaystyle\prod_{k=1}^{n-1}(z-z_{k})$,where $|z_k|\ge 1,1\le k\le n-1$ then $P^\prime(z)\ne 0$. If $|z|<\dfrac {1}{n}$. In this paper, we present some interesting generalisations of this result.

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