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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Some inequalities for polynomials
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by Q. I. Rahman PDF
Proc. Amer. Math. Soc. 56 (1976), 225-230 Request permission

Abstract:

Let ${p_n}(z)$ be a polynomial of degree $n$. Given that ${p_n}(z)$ has a zero on the circle $|z| = \rho (0 < \rho < \infty )$ we estimate ${\max _{|z| = R > 1}}|{p_n}(z)|$ in terms of ${\max _{|z| = 1}}|{p_n}(z)|$. We also consider some other related problems.
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 56 (1976), 225-230
  • MSC: Primary 30A08
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0402016-4
  • MathSciNet review: 0402016