On generalisation of Brown's conjecture

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.

On generalisation of Brown's conjecture Keywords:

Polynomial , disk , Zeros , Derivative , conjecture