The Hypergeometric Differential Equation
The hypergeometric function is a solution of Euler's hypergeometric differential equation
which has three regular singular points: 0,1 and ∞. The generalization of this equation to three arbitrary regular singular points is given by Riemann's differential equation. Any second order differential equation with three regular singular points can be converted to the hypergeometric differential equation by a change of variables.
Read more about this topic: Hypergeometric Functions
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