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

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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Publication Details

Journal
Annals of Mathematics and Computer Science
Published
2025-03-23
DOI
https://doi.org/10.56947/amcs.v27.485
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Faroz Ahmad Bhat, Hilal Ahmad Dar, Hilal Ahmad Laway
Annals of Mathematics and Computer Science
Mathematical functions and polynomials
article

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

Faroz Ahmad Bhat, Hilal Ahmad Dar, Hilal Ahmad Laway
article en

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.

Annals of Mathematics and Computer ScienceVol. 27
University of Kashmir (IN)
Openalex Percentile: Top 92%
Mathematical functions and polynomials
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Refinement of Erdos-Lax inequality for polar derivative of a polynomial — Faroz Ahmad Bhat, Hilal Ahmad Dar, et al. · Annals of Mathematics and Computer Science (2025) | TGRS Research Map | TGRS