Author/Authors :
-، - نويسنده Freelance Mathematics Researcher, Mashhad, Iran. Soliman Mezerji, H. A. , -، - نويسنده Department of Mathematics, Semnan University, Semnan, Iran. Ahamadi, S. , -، - نويسنده Department of Mathematics, Semnan University, Semnan, Iran. Bidkham, M.
Abstract :
Let $p(z)=z^s h(z)$ where $h(z)$ is a polynomial of degree at most $n-s$ having all its zeros in $|z|geq k$ or in $|z|leq k$. In this paper we obtain some new results about the dependence of $|p(Rz)|$ on $|p(rz)| $ for $r^2leq rRleq k^2$, $k^2 leq rRleq R^2$ and for $Rleq r leq k$. Our results refine and generalize certain well-known polynomial inequalities.
