Author： Schmieder G.
Publisher： Taylor & Francis Ltd
ISSN： 0278-1077
Source： Complex Variables, Vol.47, Iss.3, 2002-03, pp. : 239-241
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Abstract
We consider the class S(n) of all complex polynomials of degree n > 1 having all their zeros in the closed unit disk $ overline {E} $. By S(n,
) we denote the subclass of p 
S(n) vanishing in the prescribed point $ beta in overline {E} $. For an arbitrary point $ alpha in {shadC} $ and $ pin S(n,beta ) $ let $ |p|_alpha $ be the distance of 
and the set of zeros of P
. Then there exists some $ P in S(n,beta ) $ with maximal $ |P|_alpha $. We give an estimation for the number of zeros of P on $ |z| = 1$ resp. P on $ |z-alpha | = |P|_alpha $.
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