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h21-0166

Edited by Hiromasa Nakayama

$ ( {}_2F_1(\frac{ 7 }{ 12 },\frac{ 11 }{ 12 },\frac{ 3 }{ 2 },\frac{ 121 }{ 12...
...)))=(( 2250 \cdot ( 3 )^{\frac{ 1 }{ 2 }})\cdot ( 2 -( 3 )^{\frac{ 1 }{ 2 }})) $
Typeset by om2tex.xsl

$ \left( 990 {}_2 F_1 ({\frac{1}{12}},{\frac{5}{12}},{\frac{1}{2}},{\frac{121}{...
...ac{3}{2}},{\frac{121}{125}}) = 2250 {\sqrt{3}} \left( 2 - {\sqrt{3}} \right) $
Typeset by Mathematica

Formula in the tfb format:

   (hypergeo1.hypergeometric2F1(7 / 12, 11 / 12, 3 / 2, 121 / 125) *
    (arith1.unary_minus(363) * 
     hypergeo1.hypergeometric2F1(5 / 12, 13 / 12, 3 / 2, 121 / 125) + 
     (990 * hypergeo1.hypergeometric2F1(1 / 12, 5 / 12, 1 / 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 h21-0166-math-auto.m Retrieve the formula in Risa/Asir form h21-0166-asir-auto.rr Retrieve the formula in LaTeX form h21-0166-tex-auto.tex Interactive replacement h21-0166-js-auto.html


Nobuki Takayama 2003-02-03