Arkiv för Matematik
- Ark. Mat.
- Volume 43, Number 2 (2005), 307-321.
Normality and fixed-points of meromorphic functions
LetF 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, thenF 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.
Ark. Mat., Volume 43, Number 2 (2005), 307-321.
Received: 8 January 1994
Revised: 30 May 1994
First available in Project Euclid: 31 January 2017
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2005 © Institut Mittag-Leffler
Chang, Jianming; Fang, Mingliang; Zalcman, Lawrence. Normality and fixed-points of meromorphic functions. Ark. Mat. 43 (2005), no. 2, 307--321. doi:10.1007/BF02384782. https://projecteuclid.org/euclid.afm/1485898902