Sharing values and normality (Q1203539)

From MaRDI portal





scientific article; zbMATH DE number 119839
Language Label Description Also known as
English
Sharing values and normality
scientific article; zbMATH DE number 119839

    Statements

    Sharing values and normality (English)
    0 references
    0 references
    10 February 1993
    0 references
    \textit{E. Mues} and \textit{N. Steinmetz} [Manusc. Math. 29, 195-206 (1979; Zbl 0416.30028)] proved that a nonconstant meromorphic function \(f\) in the plane, which shares three complex values with its first derivative, satisfies \(f\equiv f'\). We prove that a family \(F\) of meromorphic functions in a domain \(G\), where every \(f\in F\) shares three fixed complex values with \(f'\), is normal.
    0 references
    normal family
    0 references
    value sharing
    0 references
    Nevanlinna theory
    0 references
    meromorphic function
    0 references

    Identifiers