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V.K. Jain: Generalization of an inequality involving maximum moduli of a polynomial and its polar derivative, p.67-74

Abstract:

For a polynomial p(z) of degree n, having all its zeros in |z| < 1 Turán had shown that

\begin{theorem} In this paper we present a proof of a question proposed by Dincu... ...In the sequel we present an possible answer to this question. \par \end{theorem}

Key Words: Polar derivative of a polynomial, maximum modulus, zeros, inequality, circular region.

2000 Mathematics Subject Classification:: Primary 30C10, Secondary 30A10.

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