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Ein elementarer Beweis eines Faktorisierungssatzes für ganze Funktionen. (An elementary proof of a factorization theorem for entire functions) - MaRDI portal

Ein elementarer Beweis eines Faktorisierungssatzes für ganze Funktionen. (An elementary proof of a factorization theorem for entire functions) (Q914883)

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scientific article; zbMATH DE number 4150594
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English
Ein elementarer Beweis eines Faktorisierungssatzes für ganze Funktionen. (An elementary proof of a factorization theorem for entire functions)
scientific article; zbMATH DE number 4150594

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    Ein elementarer Beweis eines Faktorisierungssatzes für ganze Funktionen. (An elementary proof of a factorization theorem for entire functions) (English)
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    1989
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    Let f and g be transcendental entire functions. \textit{M. Ozawa} [Kōdai Math. Sem. Reports 20, 159-162 (1968; Zbl 0157.395)] and \textit{F. Gross} [Trans. Am. Math. Soc. 131, 215-222 (1968; Zbl 0159.367)] proved that if the composite function \(f\circ g\) has finite order, then it does not have a finite Picard exceptional value. The author gives another proof of this theorem.
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    entire function
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    factorization
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    prime function
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    entire functions
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    Picard exceptional value
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