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 identity function

• the exponential function

• an elliptic function

Title	Weierstrass’ theorem on addition formulas
Canonical name	WeierstrassTheoremOnAdditionFormulas
Date of creation	2013-03-22 14:45:47
Last modified on	2013-03-22 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