Inequalities concerning the rate of growth of polynomials involving the polar derivative

Abdullah Mir, Adil Hussain Malik

Abstract


This paper contains some results for algebraic polynomials in the complex plane involving the polar derivative that are inspired by some classical results of Bernstein. Obtained results yield the polar derivative analogues of some inequalities giving estimates for the growth of derivative of lacunary polynomials.

Keywords


Bernstein inequality; lacunary polynomial; zeros

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References


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DOI: http://dx.doi.org/10.17951/a.2020.74.1.67-75
Date of publication: 2020-10-20 20:08:07
Date of submission: 2020-10-11 14:39:10


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