Year: 2014
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 3 : pp. 306–317
Abstract
Let $P(z)$ be a polynomial of degree $n$ and for any complex number $\alpha$, let $D_{\alpha}P(z)=nP(z)+(\alpha -z)P'(z)$ denote the polar derivative of $P(z)$ with respect to $\alpha$. In this paper, we obtain certain inequalities for the polar derivative of a polynomial with restricted zeros. Our results generalize and sharpen some well-known polynomial inequalities.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2014.v30.n3.7
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 3 : pp. 306–317
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Polynomial zeros polar derivative Bernstein inequality.
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Bibliography
2022
https://doi.org/10.1016/B978-0-12-811988-4.00014-1 [Citations: 0]