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Subordination of polynomials - MaRDI portal

Subordination of polynomials (Q1178581)

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scientific article; zbMATH DE number 21908
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Subordination of polynomials
scientific article; zbMATH DE number 21908

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    Subordination of polynomials (English)
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    26 June 1992
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    In this paper the authors prove a general sufficient condition for polynomials to be subordinate to certain analytic functions. This generalizes the following known result: if \(P\) is a polynomial of degree \(\leqq n\), \(P(0)=1\) and \(0\not\in P(D)\), then \(P\prec Q_ n=:(1-z)^ n\) where \(D\) is the unit disk.
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