98-28 | Berichtsreihe des Mathematischen Seminars der Universität Kiel | |
Walter Bergweiler:Normality and exceptional values of derivativesWe show that a family $\FF$ of functions meromorphic in some domain is normal, if for all $f\in\FF$ the derivative $f'$ omits the value $1$ and if the values that $f'$ can take at the zeros of $f$ satisfy certain restrictions. As an application we obtain a new proof of a theorem of Langley which classifies the functions $f$ meromorphic in the plane such that $f$ and $f''$ have no zeros.Mathematics Subject Classification (1991): 30D45, 30D30
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