Inequalities for the polar derivative of a polynomial

N. A. Rather; Suhail Gulzar

Inequalities for the polar derivative of a polynomial

Complex Variables 2013-04-03 v1

Authors: N. A. Rather , Suhail Gulzar

Abstract

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.

Keywords

polynomial polar derivative inequality complex analysis

Cite

@article{arxiv.1303.0068,
  title  = {Inequalities for the polar derivative of a polynomial},
  author = {N. A. Rather and Suhail Gulzar},
  journal= {arXiv preprint arXiv:1303.0068},
  year   = {2013}
}

Comments

14 pages

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