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h21-0165

Edited by Hiromasa Nakayama

$ ( {}_2F_1(\frac{ 1 }{ 12 },\frac{ 5 }{ 12 },\frac{ 1 }{ 2 },\frac{ 121 }{ 125...
...)))=(( 2250 \cdot ( 3 )^{\frac{ 1 }{ 2 }})\cdot ( 2 +( 3 )^{\frac{ 1 }{ 2 }})) $
Typeset by om2tex.xsl

$ {}_2 F_1 ({\frac{1}{12}},{\frac{5}{12}},{\frac{1}{2}},{\frac{121}{125}}) \lef...
...},{\frac{121}{125}}) \right) = 2250 {\sqrt{3}} \left( 2 + {\sqrt{3}} \right) $
Typeset by Mathematica

Formula in the tfb format:

   (hypergeo1.hypergeometric2F1(1 / 12, 5 / 12, 1 / 2, 121 / 125) *
    (13500 * hypergeo1.hypergeometric2F1(arith1.unary_minus(1 / 12),
     7 / 12, 1 / 2, 121 / 125) + (990 * 
    hypergeo1.hypergeometric2F1(7 / 12, 11 / 12, 3 / 2, 121 / 125))))
   =
   (2250  * arith1.power(3, 1 / 2) * (2 + arith1.power(3, 1 / 2)));

Value of the Gauss hypergeometric function at z = 121 / 125

Reference: Retrieve the formula in Mathematica form h21-0165-math-auto.m Retrieve the formula in Risa/Asir form h21-0165-asir-auto.rr Retrieve the formula in LaTeX form h21-0165-tex-auto.tex Interactive replacement h21-0165-js-auto.html


Nobuki Takayama 2003-02-03