Growth of a polynomial with restricted zeros

DOI10.1007/s41478-019-00208-xzbMath1451.30013OpenAlexW2990935009WikidataQ126786965 ScholiaQ126786965MaRDI QIDQ2004400

Abdullah Mir, Abrar Ahmad, Adil Hussain Malik

Publication date: 14 October 2020

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-019-00208-x

zbMATH Keywords

zerospolynomials

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 (2)

Growth of polynomials having no zero inside a circle ⋮ Growth of polynomials not vanishing inside a circle

Cites Work

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• Some inequalities for derivatives of polynomials
• On growth of polynomials
• On maximum modulus of polynomials not vanishing inside a circle
• Growth of Polynomials with Zeros Outside a Circle
• On the maximum modulus of polynomials not vanishing inside the unit circle
• On a theorem of Ankeny and Rivlin concerning maximum modulus of polynomials
• On a theorem of S. Bernstein
• On Bernstein's inequality
• Inequalities for a polynomial and its derivative

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