Growth of polynomials not vanishing inside a circle

DOI10.1007/s41478-022-00410-4zbMath1503.30019OpenAlexW4220965430MaRDI QIDQ2093852

Robinson Soraisam, Khangembam Babina Devi, Barchand Chanam, Thangjam Birkramjit Singh

Publication date: 27 October 2022

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

Full work available at URL: https://doi.org/10.1007/s41478-022-00410-4

zbMATH Keywords

inequalitieszerospolynomialsmaximum modulus

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 growth of polynomials
• Growth of a polynomial with restricted zeros
• On maximum modulus of polynomials not vanishing inside a circle
• Growth of Polynomials with Zeros Outside a Circle
• On the Maximum Modulus of Polynomials
• On the maximum modulus of polynomials not vanishing inside the unit circle
• Inequalities describing the growth of polynomials not vanishing in a disk of prescribed radius
• On a theorem of Ankeny and Rivlin concerning maximum modulus of polynomials
• On Sharpening of a Theorem of Ankeny and Rivlin
• On a theorem of S. Bernstein

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