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Let P(z) be a polynomial of degree n which does not vanish in |z|< k, k ≥ 1.It is known that for each 0 ≤ s < n and 1 ≤ R ≤ k,M (P~(s), R )≤( 1/(R~s+ k~s))[{d~((s)/dx(s))(1+x~n)}_(x=1)]((R+k)/(1+k))~nM(P,1).In this paper, we obtain certain extension