next up previous
Next: hpq-0007 Up: Digital Formula Book for Previous: hpq-0005


hpq-0006

Edited by Hiromasa Nakayama

$  {}_2F_1(a,b,((\frac{ 1 }{ 2 }+\frac{a}{ 2 })+\frac{b}{ 2 }),\frac{ 1 }{ 2 })...
...\frac{ 1 }{ 2 }+\frac{a}{ 2 }))\cdot \Gamma((\frac{ 1 }{ 2 }+\frac{b}{ 2 })))} $
Typeset by om2tex.xsl

$
{\tt True}
$
Typeset by Mathematica

Formula in the tfb format:

    hypergeo1.hypergeometric2F1(a, b, (1/2) + (a/2) + (b/2), 
     1/2)
    =
    ((hypergeo0.gamma(1/2) * hypergeo0.gamma((1/2) + (a/2) + (b/2)))
     / (hypergeo0.gamma((1/2) + (a/2)) * hypergeo0.gamma((1/2) + 
     (b/2))));

Summation theorems for ordinary hypergeometric series

Reference: Retrieve the formula in Mathematica form hpq-0006-math-auto.m Retrieve the formula in Risa/Asir form hpq-0006-asir-auto.rr Retrieve the formula in LaTeX form hpq-0006-tex-auto.tex Interactive replacement hpq-0006-js-auto.html


Nobuki Takayama 2003-02-03