Generating quasinormal families of arbitrary degree and order

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A family f of meromorphic functions on a plane domain D is called quasinormal on D if each sequence S of functions in T has a subsequence which converges locally x-uniformly on D \ E, where E = E(S) is a subset of D having no accumulation points in D. The notion of quasi-normality was introduced by Montel. It generalizes the concept of normal family, which corresponds to E = 0.

Original languageEnglish
Pages (from-to)125-150
Number of pages26
JournalAnalysis (Germany)
Issue number2
StatePublished - 2003


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