abelian function

An abelian or hyperelliptic function is a generalisation of an elliptic functionMathworldPlanetmath. 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 functionMathworldPlanetmath to certain integralsDlmfPlanetmath (called abelian or hyperelliptic integrals) of the form


where R is a polynomial of degree greater than 4.

Title abelian function
Canonical name AbelianFunction
Date of creation 2013-03-22 14:43:34
Last modified on 2013-03-22 14:43:34
Owner vmoraru (1243)
Last modified by vmoraru (1243)
Numerical id 5
Author vmoraru (1243)
Entry type Definition
Classification msc 26-00
Synonym hyperelliptic function