Inequalities for the Polar Derivative of a Polynomial

By M. Shakeri, M.Bidkham, M. Eshaghi Gordji. 2009

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Let be a polynomial of degree and for any real or complex number , and let denote the polar derivative of the polynomial with respect to . In this paper, we obtain new results concerning the maximum modulus of a polar derivative of a polynomial with restricted zeros. Our results generalize as well as improve upon some well-known polynomial inequalities.

Subfields: Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6f284d722ef65cd63a0e6b6f454e9045010a3388