Inequalities for the Polar Derivatives of a Polynomial |
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| Authors: | B.A.Zargar |
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| Affiliation: | Department of Mathematics, University of Kashmir, Srinagar |
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| Abstract: | Let $P(z)$ be a polynomial of degree $n,$ having all its zeros in $|z|leq 1.$ In this paper, we estimate $kth$ polar derivative of $P(z)$ on $|z|=1$ and thereby obtain compact generalizations of some known results which among other things yields a refinement of a result due to Paul Turán. |
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| Keywords: | Polar derivative of a polynomial maximum modulus Bernstiens inequality. |
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