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Fundamental normality test : ウィキペディア英語版
Fundamental normality test
In complex analysis, a mathematical discipline, the fundamental normality test gives sufficient conditions to test the normality of a family of analytic functions. It is another name for the stronger version of Montel's Theorem.
==Statement of theorem==
Let \mathcal be a family of analytic functions defined on a domain \Omega . If there are two fixed complex numbers ''a'' and ''b'' that are omitted from the range of every ''ƒ'' ∈ \mathcal, then \mathcal is a normal family on \Omega .
The proof relies on properties of the elliptic modular function and can be found here:

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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