A note on an inequality of Paul Turán concerning polynomials

DOI10.1007/s11139-021-00494-9zbMath1482.30015OpenAlexW3193422172MaRDI QIDQ2054718

Abdullah Mir

Publication date: 3 December 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-021-00494-9

zbMATH Keywords

zerosestimatespolynomialspolar 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)

Related Items (5)

Inequalities of Erdős-Lax-type for a complex polynomial ⋮ On the growth of polynomials ⋮ A note on the Erdös-Lax inequality concerning polynomials ⋮ On the Erdös-Lax inequality and its various generalizations concerning polynomials ⋮ Unnamed Item

Cites Work

• On the polar derivative of a polynomial
• Some inequalities for derivatives of polynomials
• On the Erdős-Lax inequality concerning polynomials
• Analytic Number Theory, Approximation Theory, and Special Functions
• A refinement of a theorem of Paul Turan concerning polynomials
• On the Derivative of a Polynomial
• On sharpening of an inequality of Turán
• Some inequalities for the polar derivative of a polynomial
• Inequalities for a polynomial and its derivative
• On an operator preserving inequalities between polynomials
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