On the maximum modulus of polynomials

Qazi, M. A.

doi:10.1090/S0002-9939-1992-1113648-1

On the maximum modulus of polynomials
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by M. A. Qazi PDF

Proc. Amer. Math. Soc. 115 (1992), 337-343 Request permission

Abstract:

The maximum modulus on $|z|r < 1$ of a polynomial of degree $n$ not vanishing in $|z| < 1$ is estimated in terms of its maximum modulus on $|z| = 1$ and certain of its coefficients. Some other related problems are also considered.

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