Year: 2014
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 4 : pp. 425–432
Abstract
Let $P(z)$ be a polynomial of degree $n,$ having all its zeros in $|z|\leq 1.$ In this paper, we estimate $kth$ polar derivative of $P(z)$ on $|z|=1$ and thereby obtain compact generalizations of some known results which among other things yields a refinement of a result due to Paul Turán.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2014.v30.n4.10
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 4 : pp. 425–432
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Polar derivative of a polynomial maximum modulus Bernstein's inequality.
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Bibliography
2022
https://doi.org/10.1016/B978-0-12-811988-4.00014-1 [Citations: 0]