Abstract

If is a polynomial of degree n having all its zeros in |z|≤ k , k ≥ 1 , then Govil [Proc. Amer. Math. Soc., Vol. 41 (1973), pp. 543–546] proved In this paper, we generalize and extend the above inequality and some other related inequalities by restricting ourselves to polynomials of degree n having all its zeros in |z|≤ · k , k ≥ 1 with s -fold zeros at the origin where 0 ≤ s ≤ n .

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