Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220210701On generalisation of Brown's conjecture11511155519110.22075/ijnaa.2021.22265.2343ENIshfaqNazirDepartment of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, IndiaMohammad IbrahimMirDepartment of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, India0000-0003-2858-9251Irfan AhmadWaniDepartment of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, India0000-0003-1036-0512Journal Article20201230LetĀ $P$ 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 severalĀ authors related to this conjecture.https://ijnaa.semnan.ac.ir/article_5191_42bbd804ea617d83fa8b45a21dde4061.pdf