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h21-0163

Edited by Hiromasa Nakayama

$ ( {}_2F_1(\frac{ 1 }{ 12 },\frac{ 5 }{ 12 },\frac{ 1 }{ 2 },\frac{ 98 }{ 125 ...
...\cdot ( 2 )^{\frac{ 1 }{ 2 }})}\cdot ( 3 +( 2 \cdot ( 2 )^{\frac{ 1 }{ 2 }}))) $
Typeset by om2tex.xsl

$ {}_2 F_1 ({\frac{1}{12}},{\frac{5}{12}},{\frac{1}{2}},{\frac{98}{125}}) \left...
...5}}) \right) = {\frac{1125 \left( 3 + 2 {\sqrt{2}} \right) }{2 {\sqrt{2}}}} $
Typeset by Mathematica

Formula in the tfb format:

   (hypergeo1.hypergeometric2F1(1 / 12, 5 / 12, 1 / 2, 98 / 125) *
    (2250 * hypergeo1.hypergeometric2F1(arith1.unary_minus(1 / 12),
     7 / 12, 1 / 2, 98 / 125) + (105 * 
    hypergeo1.hypergeometric2F1(7 / 12, 11 / 12, 3 / 2, 98 / 125))))
   =
   ((1125 / (2 * arith1.power(2, 1 / 2))) * 
    (3 + (2 * arith1.power(2, 1 / 2))));

Value of the Gauss hypergeometric function at z = 98 / 125

Reference: Retrieve the formula in Mathematica form h21-0163-math-auto.m Retrieve the formula in Risa/Asir form h21-0163-asir-auto.rr Retrieve the formula in LaTeX form h21-0163-tex-auto.tex Interactive replacement h21-0163-js-auto.html


Nobuki Takayama 2003-02-03