Generalizations and sharpenings of certain Bernstein and Turán types of inequalities for the polar derivative of a polynomial

DOI10.7153/JMI-2021-15-114zbMath1483.30025OpenAlexW3217722879MaRDI QIDQ5028948

Thangjam Birkramjit Singh, Barchand Chanam

Publication date: 11 February 2022

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2021-15-114

zbMATH Keywords

inequalitieszerospolynomialspolar derivative

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10) Special classes of entire functions of one complex variable and growth estimates (30D15) Inequalities in the complex plane (30A10)

Related Items (2)

Estimates for the polar derivative of a constrained polynomial on a disk ⋮ Sharpening of Turán type inequalities for polar derivative of a polynomial

Cites Work

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• Distortion theorems for polynomials on a circle
• Inequalities for the Derivative of a Polynomial
• A refinement of a theorem of Paul Turan concerning polynomials
• On the Derivative of a Polynomial
• Inequalities for a polynomial and its derivative
• On sharpening of an inequality of Turán
• Functions of Exponential Type Not Vanishing in a Half-Plane and Related Polynomials
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• Inequalities for a polynomial and its derivative

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