Inequalities for the Polar Derivative of a Polynomial
Complex Variables
2009-07-17 v1
Abstract
In this paper we obtain new results concerning maximum modulus of the polar derivative of a polynomial with restricted zeros. Our results generalize and refine upon the results of Aziz and Shah [An integral mean estimate for polynomial, Indian J. Pure Appl. Math. 28 (1997) 1413--1419] and Gardner, Govil and Weems [Some result concerning rate of growth of polynomials, East J. Apporox. 10(2004) 301--312].
Cite
@article{arxiv.0907.2836,
title = {Inequalities for the Polar Derivative of a Polynomial},
author = {M. Shakeri and M. Bidkham and M. Eshaghi Gordji},
journal= {arXiv preprint arXiv:0907.2836},
year = {2009}
}