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h21-0160

Edited by Hiromasa Nakayama

$  {}_2F_1(\frac{ 1 }{ 12 },\frac{ 5 }{ 12 },\frac{ 1 }{ 2 },\frac{ 1323 }{ 1331 })=(\frac{ 3 }{ 4 }\cdot {}^ 4 \sqrt{ 11 }) $
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$ {}_2 F_1 ({\frac{1}{12}},{\frac{5}{12}},{\frac{1}{2}},{\frac{1323}{1331}}) = {\frac{3 {{11}^{{\frac{1}{4}}}}}{4}} $
Typeset by Mathematica

Formula in the tfb format:

   hypergeo1.hypergeometric2F1(1 / 12, 5 / 12, 1 / 2, 1323 / 1331)
   =
   ((3 / 4) * arith1.root(11, 4));

Value of the Gauss hypergeometric function at z = 1323 / 1331

Reference: [1, 45] Retrieve the formula in Mathematica form h21-0160-math-auto.m Retrieve the formula in Risa/Asir form h21-0160-asir-auto.rr Retrieve the formula in LaTeX form h21-0160-tex-auto.tex Interactive replacement h21-0160-js-auto.html


Nobuki Takayama 2003-02-03