Some Inequalities Concerning the Polar Derivative of a Polynomial-II

Some Inequalities Concerning the Polar Derivative of a Polynomial-II

Year:    2013

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 4 : pp. 384–389

Abstract

In this paper, we consider the class of polynomials $P(z)=a_{n}z^{n}+\sum_{\nu=\mu}^{n}a_{n-\nu}z^{n-\nu}$, $1\leq \mu\leq n$, having all zeros in $|z|\leq k$, $k\leq 1$ and thereby present an alternative proof, independent of Laguerre's theorem, of an inequality concerning the polar derivative of a polynomial.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2013.v29.n4.7

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 4 : pp. 384–389

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Polar derivative of a polynomial.

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