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High Quality Content by WIKIPEDIA articles! In mathematics, the Weierstrass functions are special functions of a complex variable that are auxiliary to the Weierstrass elliptic function. They are named for Karl Weierstrass. The Weierstrass sigma-function associated to a two-dimensional lattice LambdasubsetComplex is defined to be the product sigma(z;Lambda)=zprod_{winLambda^{ }} left(1-frac{z}{w}right) e^{z/w+frac{1}{2}(z/w)^2} where denotes {0}.