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 .