The name "Weierstrass form" is used for (at least) two mathematical objects. The first is a general form into which an elliptic
curve over any field 
can be transformed, given by
 |
where 
,
, 
, 
, and 
are elements of 
.
The second is the definition of the gamma function as
![Gamma(z)=[ze^(gammaz)product_(r=1)^infty(1+z/r)e^(-z/r)]^(-1),](/images/equations/WeierstrassForm/NumberedEquation2.svg) |
where 
is the Euler-Mascheroni constant (Krantz
1999, p. 157).
