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arXiv · 2412.04176

Generalizations of Some Inequalities of the Polar Derivatives of Polynomials

Deepak Kumar·Dinesh Tripathi·Sunil Hans
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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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Deepak Kumar, Dinesh Tripathi, Sunil Hans. 2024-12-05. Generalizations of Some Inequalities of the Polar Derivatives of Polynomials. https://arxiv.org/abs/2412.04176

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