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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Bibliography
2022
https://doi.org/10.1016/B978-0-12-811988-4.00014-1 [Citations: 0]