The Hypergeometric Series

For more information on the Hypergeometric Series, see [Husemöller, 1987], page 176.

HypergeometricSeries(a, b, c, z): RngElt, RngElt, RngElt, RngElt -> RngElt

Return the hypergeometric series \(F(a,b,c;z)\) defined by

\[F(a,b,c;z) = \sum_{0\le n} {{(a)_n(b)_n}\over{n!(c)_n} z^n}\]

where \((a)_n = a (a+1) \cdots (a+n-1)\).