Title of article :
On generalisation of Brown's conjecture
Author/Authors :
Nazir, Ishfaq Department of Mathematics - University of Kashmi, Jammu and Kashmir, India , Ibrahim Mir, Mohammad Department of Mathematics - University of Kashmi, Jammu and Kashmir, India , Ahmad Wani, Irfan Department of Mathematics - University of Kashmi, Jammu and Kashmir, India
Abstract :
Let P be the complex polynomial of the form P(z)=z∏n−1j=1(z−zj), with |zj|≥1, 1≤j≤n−1. Then according to famous Brown's Conjecture p′(z)≠0, for |z|<1n. 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.
Keywords :
polynomial , disk , zeros , derivative , conjecture
Journal title :
International Journal of Nonlinear Analysis and Applications
