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Uniqueness of factorization of certain entire functions - MaRDI portal

Uniqueness of factorization of certain entire functions (Q1261821)

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scientific article; zbMATH DE number 409642
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Uniqueness of factorization of certain entire functions
scientific article; zbMATH DE number 409642

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    Uniqueness of factorization of certain entire functions (English)
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    7 September 1993
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    The author proves the following: Theorem. Let \(R_ j(w)\) \((j=1,2)\) be non-constant rational functions having at most two poles at \(w=0\) and \(w=\infty\). Then \[ F(z)=(z+R_ 1(e^ z))\circ(z+R_ 2(e^ z)) \] is uniquely factorizable.
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    uniquely factorizable
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