hypergeometric equation

The hypergeometric equation is the following linear ordinary differential equationMathworldPlanetmath:


(Here, a, b, and c are complex constants.)

The solutions of this equation may be expressed in terms of the hypergeometric functionDlmfDlmfDlmfMathworldPlanetmath, hence the name.

The hypergeometric equation is a Fuchsian differential equation with singularities at 0, 1, and . By a suitable change of variables, any second order Fuchsian differential equation may be converted into a hypergeometric equation.

Title hypergeometric equation
Canonical name HypergeometricEquation
Date of creation 2013-03-22 14:45:53
Last modified on 2013-03-22 14:45:53
Owner rspuzio (6075)
Last modified by rspuzio (6075)
Numerical id 6
Author rspuzio (6075)
Entry type Definition
Classification msc 33C05