Gauss Hypergeometric Equation

A canonical form of the Riemann-Papperitz equation, where the regular singular points have been shifted to x = 0, 1, infinity Its form is: , in which small alpha, small beta, small gamma are parameters of the equation. Its general solition around the point x = 0 and convergent for , provided is not a positive or negative integer or zero, is

In this solution F(x) is the Gauss hypergeometric function and A, B are constants of integration.
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