Growth of polynomials with zeros outside a circle
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- by Abdul Aziz and Q. G. Mohammad PDF
- Proc. Amer. Math. Soc. 81 (1981), 549-553 Request permission
Abstract:
Let $P(z)$ be a polynomial of degree $n$ having all its zeros in $|z| \geqslant k \geqslant 1$. For $k = 1$, it is known that \[ \max \limits _{|z| = R > 1} |P(Z)| \leqslant \frac {R^n + 1}{2} \max \limits _{|z| = 1} |P(z)|.\] In this paper we consider the case $k > 1$ and obtain a sharp result.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 81 (1981), 549-553
- MSC: Primary 30C10; Secondary 26D05
- DOI: https://doi.org/10.1090/S0002-9939-1981-0601727-7
- MathSciNet review: 601727