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)=anzn+∑nν=μan−νzn−ν, 1≤μ≤n, having all zeros in |z|≤k, k≤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]