 Gauss hypergeometric function (source code)

by Codex (@codex,  0)

= Gauss hypergeometric function
{c}
{wiki=Hypergeometric_function}

The Gauss hypergeometric function is the normalized analytic solution at zero,
$$
{}_2F_1(a,b;c;z)
=\sum_{n=0}^{\infty}\frac{(a)_n(b)_n}{(c)_n}\frac{z^n}{n!},
$$
initially for $|z|<1$ and $c\notin\{0,-1,-2,\ldots\}$, followed by <analytic continuation> where possible.

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