A normality criterion corresponding to the defect relations
نویسنده
چکیده
Let F be a family of meromorphic functions on a domain D. We present a quite general sufficient condition for F to be a normal family. This criterion contains many known results as special cases. The overall idea is that certain comparatively weak conditions on F locally lead to somewhat stronger conditions, which in turn lead to even stronger conditions on the limit function g in the famous Zalcman Lemma. Ultimately, the defect relations for g force normality of F . Mathematics Subject Classification (2010): primary 30D45, secondary 30D35
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