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arxiv: 1303.0068 · v1 · pith:BZ6UDWFBnew · submitted 2013-03-01 · 🧮 math.CV

Inequalities for the polar derivative of a polynomial

classification 🧮 math.CV
keywords alphaderivativepolarpolynomialinequalitiesalpha-zcomplexdegree
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Let $ P(z) $ be a polynomial of degree $ n $ and for any real or complex number $\alpha,$ let $D_\alpha P(z)=nP(z)+(\alpha-z)P^{\prime}(z)$ denote the polar derivative with respect to $\alpha.$ In this paper, we obtain generalizations of some inequalities for the polar derivative of a polynomial.

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