Some \(L_p\) norm involving the polar derivative of a polynomial

DOI10.1142/S1793557124500372MaRDI QIDQ6651060

Mohammad Ibrahim Mir, Irfan Ahmad Wani, Ishfaq Nazir

Publication date: 9 December 2024

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

inequalitieszerospolynomialsderivative and polar derivative

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Cites Work

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• On the polar derivative of a polynomial
• Some inequalities for the polar derivative of polynomials in complex domain
• Extensions of some polynomial inequalities to the polar derivative
• Integral mean estimates for polynomials with restricted zeros
• Aufgaben und Lehrsätze aus der Analysis. Bd. I: Reihen, Integralrechnung, Funktionentheorie. Bd. II: Funktionentheorie, Nullstellen, Polynome, Determinanten, Zahlentheorie.
• Sur l'ordre de la meilleure approximation des fonctions continues par des polynomes de degré donné.
• Integral mean estimates for polynomials whose zeros are within a circle
• An Integral Mean Estimate for Polynomials
• A refinement of a theorem of Paul Turan concerning polynomials
• Some integral mean estimates for polynomials
• On the Derivative of a Polynomial
• Some inequalities for the polar derivative of a polynomial
• Inequalities for a polynomial and its derivative

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