Local feature size

In complex analysis, a mathematical discipline, the fundamental normality test gives sufficient conditions to test the normality of a family of analytic functions.

Statement of theorem

Let $\mathcal{ℱ}$ be a family of analytic functions defined on a domain $\mathrm{\Omega }$. If there are two fixed complex numbers a and b that are omitted from the range of every ƒ ∈ $\mathcal{ℱ}$, then $\mathcal{ℱ}$ is a normal family on $\mathrm{\Omega }$.

The proof relies on properties of the elliptic modular function and can be found here: 20 year-old Real Estate Agent Rusty from Saint-Paul, has hobbies and interests which includes monopoly, property developers in singapore and poker. Will soon undertake a contiki trip that may include going to the Lower Valley of the Omo.

My blog: http://www.primaboinca.com/view_profile.php?userid=5889534

See also

• Montel's theorem