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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 be a family of analytic functions defined on a domain . If there are two fixed complex numbers ''a'' and ''b'' that are omitted from the range of every ''ƒ'' ∈ , then is a normal family on . 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)』 ■ウィキペディアで「Fundamental normality test」の詳細全文を読む
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