# abelian function

An abelian or hyperelliptic function is a generalisation of an elliptic function. It is a function of two variables with four periods. In a similar way to an elliptic function it can also be regarded as the inverse function to certain integrals (called abelian or hyperelliptic integrals) of the form

 $\int\frac{dz}{R(z)}$

where $R$ is a polynomial of degree greater than 4.

Title abelian function AbelianFunction 2013-03-22 14:43:34 2013-03-22 14:43:34 vmoraru (1243) vmoraru (1243) 5 vmoraru (1243) Definition msc 26-00 hyperelliptic function