Document Type : Research Paper

Authors

• Bashir Ahmad Zargar
• Manzoor Ahmad

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 $|z|<{\displaystyle \frac{1}{n}}$. In this paper, we present some interesting generalisations of this result.

Keywords

• Critical points
• Sendove's Conjecture
• Coincidence theorem of walsh