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For a polynomial P (z) =ₕ=₀ⁿaᵥzᵛ of degree n having all zeros in |z| k, k 1 Govil et al. ILLINOIS J. of Math. proved: |P' (z) | nn|a₀|+k²|a₁| (1+k²) n|a₀|+2k²|a₁||P (z) |. In this paper besides the refinement of above inequality, we also generalize some well known inequalities.
Mir et al. (Wed,) studied this question.
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