Refinement of Erdos-Lax inequality for polar derivative of a polynomial

Faroz Ahmad Bhat; Hilal Dar; Hilal Ahmad Laway

doi:10.56947/amcs.v27.485

Authors

Faroz Ahmad Bhat Department of Mathematics, University of Kashmir, South Campus, India
Hilal Dar Department of Mathematics, University of Kashmir, South Campus, India
Hilal Ahmad Laway Department of Mathematics, University of Kashmir, South Campus, India

DOI:

https://doi.org/10.56947/amcs.v27.485

Keywords:

Coefficients, Inequalities, Polar derivative, Zeros

Abstract

In this paper, we present generalizations of Erdos-Lax type inequalities concerning the polar derivative of a polynomial over the disc of radius k≥1. Additionally, the results provide refinements of several known inequalities and lead to other interesting results as special cases.

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Refinement of Erdos-Lax inequality for polar derivative of a polynomial

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