# Weierstrass functions

## Mathematical functions related to Weierstrass's elliptic function / From Wikipedia, the free encyclopedia

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For the fractal continuous function without a defined derivative, see Weierstrass function.

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 relation between the sigma, zeta, and $\wp$ functions is analogous to that between the sine, cotangent, and squared cosecant functions: the logarithmic derivative of the sine is the cotangent, whose derivative is negative the squared cosecant.