Abstract
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.
Citation
Jianming Chang. Mingliang Fang. Lawrence Zalcman. "Normality and fixed-points of meromorphic functions." Ark. Mat. 43 (2) 307 - 321, October 2005. https://doi.org/10.1007/BF02384782
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