On extremal properties for the polar derivative of polynomials

DOI10.1007/S10496-011-0150-3zbMath1249.30001OpenAlexW2125953235MaRDI QIDQ2886093

Arty Ahuja, Kum K. Dewan

Publication date: 1 June 2012

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10496-011-0150-3

zbMATH Keywords

zerosinequalitypolar derivativepolynomial

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)

Related Items (1)

On Bernstein-Type Inequalities for the Polar Derivative of a Polynomial

Cites Work

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• On polynomials having zeros in closed exterior or closed interior of a circle
• Some Zygmund type \(L^q\) inequalities for polynomials.
• On the Derivative of a Polynomial
• Functions of Exponential Type Not Vanishing in a Half-Plane and Related Polynomials

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