In this paper we consider a class of polynomials p( z) =c_nzⁿ + ∑_j=μ ⁿ c_n-jz^n-j, 1 ≤ μ ≤ n, having all its zeros on |z| =k, k ≤ 1. Using the notation M(p,t) = max _|z|=t|p(z)|, we measure the growth of p by estimating {M(p,t)/M(p,1)} ^s from above for any t≥ 1, s being an arbitrary positive integer.

Tbilisi Mathematical Journal, Vol. 8(2) (2015), pp. 69-75