Enclosing clusters of zeros of polynomials

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منابع مشابه

Some compact generalization of inequalities for polynomials with prescribed zeros

‎Let $p(z)=z^s h(z)$ where $h(z)$ is a polynomial‎ ‎of degree at most $n-s$ having all its zeros in $|z|geq k$ or in $|z|leq k$‎. ‎In this paper we obtain some new results about the dependence of $|p(Rz)|$ on $|p(rz)| $ for $r^2leq rRleq k^2$‎, ‎$k^2 leq rRleq R^2$ and for $Rleq r leq k$‎. ‎Our results refine and generalize certain well-known polynomial inequalities‎.

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ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2003

ISSN: 0377-0427

DOI: 10.1016/s0377-0427(03)00380-7