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
Pages
5
From page
1151
To page
1155
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
Serial Year
2021
Record number
2701732
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