Weierstrass’ theorem on addition formulas
Suppose that a complex analytic function $f$ has an addition formula^{}. Then we can express $f$ as a composition $f=g\circ h$, where $g$ is an algebraic function^{} and $h$ is one of the following:
 •

•
the exponential function^{}

•
an elliptic function^{}
Title  Weierstrass’ theorem on addition formulas 

Canonical name  WeierstrassTheoremOnAdditionFormulas 
Date of creation  20130322 14:45:47 
Last modified on  20130322 14:45:47 
Owner  rspuzio (6075) 
Last modified by  rspuzio (6075) 
Numerical id  6 
Author  rspuzio (6075) 
Entry type  Theorem 
Classification  msc 30A99 
Classification  msc 30D05 