Loewner chain
A Loewner chain is a continuous function^{} $f:\mathbb{D}\times [0,\mathrm{\infty})\to \u2102$ (where $\mathbb{D}$ refers to the open unit disc) with the following properties:
 1.

2.
$f(0,t)=0$ and ${f}^{\prime}(0,t)={e}^{t}$

3.
$f(\mathbb{D},s)\subseteq f(\mathbb{D},t)$ for $$
Bibliography

•
John B. Conway . SpringerVerlag, New York, Inc, 1995
Title  Loewner chain 

Canonical name  LoewnerChain 
Date of creation  20130322 14:12:02 
Last modified on  20130322 14:12:02 
Owner  jirka (4157) 
Last modified by  jirka (4157) 
Numerical id  4 
Author  jirka (4157) 
Entry type  Definition 
Classification  msc 30C55 