If p(z) is a polynomial of degree n which does not vanish in z < k,where k ≥1,then for each r > 0 and1≤ s < n,Aziz and Rather [ J.Math.Anal.Appl.,289(2004),14-29] proved In this paper,we prove an improvement of this inequality which besides gives some interesting results as corollaries, includes some well-known results as special cases.
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