Normality and fixed-points of meromorphic functions

Jianming Chang Department of Mathematics, Nanjing Normal University Mingliang Fang Department of Applied Mathematics, South China Agricultural University Lawrence Zalcman Department of Mathematics, Bar-Ilan University

TBD mathscidoc:1701.333059

Arkiv for Matematik, 43, (2), 307-321, 1994.1
Let$F$be families of meromorphic functions in a domain$D$, and let$R$be a rational function whose degree is at least 3. If, for any$f∈$$F$, the composite function$R(f)$has no fixed-point in$D$, then$F$is normal in$D$. The number 3 is best possible. A new and much simplified proof of a result of Pang and Zalcman concerning normality and, shared values is also given.
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  title={Normality and fixed-points of meromorphic functions},
  author={Jianming Chang, Mingliang Fang, and Lawrence Zalcman},
  booktitle={Arkiv for Matematik},
Jianming Chang, Mingliang Fang, and Lawrence Zalcman. Normality and fixed-points of meromorphic functions. 1994. Vol. 43. In Arkiv for Matematik. pp.307-321.
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