Year: 2015
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 3 : pp. 236–243
Abstract
Let P(z) be a polynomial of degree n and for any complex number α, let DαP(z)=nP(z)+(α−z)P′(z) denote the polar derivative of the polynomial P(z) with respect to α. In this paper, we obtain inequalities for the polar derivative of a polynomial having all zeros inside a circle. Our results shall generalize and sharpen some well-known results of Turan, Govil, Dewan et al. and others.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2015.v31.n3.2
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 3 : pp. 236–243
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Polar derivative polynomials inequalities maximum modulus growth.