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Normal functions and \(\alpha\)-normal functions - MaRDI portal

Normal functions and \(\alpha\)-normal functions (Q1586082)

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scientific article; zbMATH DE number 1530088
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Normal functions and \(\alpha\)-normal functions
scientific article; zbMATH DE number 1530088

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    Normal functions and \(\alpha\)-normal functions (English)
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    28 January 2002
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    This paper concerns some inequalities concerning a normal meromorphic function in the unit disc due to \textit{P. Lappan} [Ann. Acad. Sci. Fenn., Ser. A I 3, 301-310 (1977; Zbl 0387.30018)]. In particular the author proves that if a meromorphic function \(f\) satisfies one of these inequalities, then \(f\) is a normal function. He also extends the result to the \(\alpha\)-normal functions.
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    normal meromorphic functions
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