Inequalities concerning polar derivative of polynomials
Arty Ahuja ; K. K. Dewan ; Sunil Hans
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 65 (2011), / Harvested from The Polish Digital Mathematics Library
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In this paper we obtain certain results for the polar derivative of a polynomial p(z)=cnzn+∑j=μncn-jzn-j, 1≤μ≤n, having all its zeros on |z|=k, k≤1, which generalizes the results due to Dewan and Mir, Dewan and Hans. We also obtain certain new inequalities concerning the maximum modulus of a polynomial with restricted zeros. [Editor’s note: There are flaws in the paper, see M. A. Qazi, Remarks on some recent results about polynomials with restricted zeros, Ann. Univ. Mariae Curie-Skłodowska Sect. A 67 (2), (2013), 59-64 ]

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:289768 
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     title = {Inequalities concerning polar derivative of polynomials},
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     year = {2011},
     language = {en},
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Arty Ahuja; K. K. Dewan; Sunil Hans. Inequalities concerning polar derivative of polynomials. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 65 (2011) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2011_65_1_1-9/

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