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h21-0164

Edited by Hiromasa Nakayama

$ ( {}_2F_1(\frac{ 7 }{ 12 },\frac{ 11 }{ 12 },\frac{ 3 }{ 2 },\frac{ 98 }{ 125...
...\cdot ( 2 )^{\frac{ 1 }{ 2 }})}\cdot ( 3 -( 2 \cdot ( 2 )^{\frac{ 1 }{ 2 }}))) $
Typeset by om2tex.xsl

$ \left( 105 {}_2 F_1 ({\frac{1}{12}},{\frac{5}{12}},{\frac{1}{2}},{\frac{98}{1...
...c{98}{125}}) = {\frac{1125 \left( 3 - 2 {\sqrt{2}} \right) }{2 {\sqrt{2}}}} $
Typeset by Mathematica

Formula in the tfb format:

   (hypergeo1.hypergeometric2F1(7 / 12, 11 / 12, 3 / 2, 98 / 125) *
    (arith1.unary_minus(49) * 
     hypergeo1.hypergeometric2F1(5 / 12, 13 / 12, 3 / 2, 98 / 125) + 
     (105 * hypergeo1.hypergeometric2F1(1 / 12, 5 / 12, 1 / 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 h21-0164-math-auto.m Retrieve the formula in Risa/Asir form h21-0164-asir-auto.rr Retrieve the formula in LaTeX form h21-0164-tex-auto.tex Interactive replacement h21-0164-js-auto.html


Nobuki Takayama 2003-02-03