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Edited by Hiromasa Nakayama

$  {}_2F_1(a,b,c, 1 )=\frac{(\Gamma(c)\cdot \Gamma((c-a-b)))}{(\Gamma((c-a))\cdot \Gamma((c-b)))} $
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Formula in the tfb format:

    hypergeo1.hypergeometric2F1(a, b, c, 1) 
    ((hypergeo0.gamma(c) ~arith1.times~ hypergeo0.gamma(c - a - b))
    (hypergeo0.gamma(c - a) ~arith1.times~ hypergeo0.gamma(c - b)));

Summation theorems for ordinary hypergeometric series

Reference: Retrieve the formula in Mathematica form hpq-0003-math-auto.m Retrieve the formula in Risa/Asir form hpq-0003-asir-auto.rr Retrieve the formula in LaTeX form hpq-0003-tex-auto.tex Interactive replacement hpq-0003-js-auto.html

Nobuki Takayama 2003-02-03