Inequalities Concerning The Maximum Modulus of Polynomials

Abstract

Let P(z) be a polynomial of degree n having all its zeros in |z|≤k, k ≤1, then for every real or complex number β, with |β| ≤1 and R ≥1, it was shown by A.Zireh et al. [7] that for |z| = 1, min |z|=1 P(Rz)+ β R+k 1+k n