Generalizations of Some Inequalities of the Polar Derivatives of Polynomials

2024/12/05 by Deepak Kumara, Kumar, Deepak, Dinesh Tripathib +3
Mathematics · #30A10 #30C10 #30C15 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2412.04176

openalex publication_date 2024/12/05 · openalex created_date 2024/12/07 · openalex updated_date 2026/07/28

Abstract

The main purpose of this paper is to present the generalization of the inequalities between the modulus of the polar derivative and the polynomial itself, depending on consideration of the zeros inside and outside of a closed disk and the extremal coefficient position of the underlying polynomial.

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