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h21-0162

Edited by Hiromasa Nakayama

$ ((\frac{ 21 }{ 242 }\cdot  {}_2F_1(\frac{ 7 }{ 12 },\frac{ 11 }{ 12 },\frac{ ...
...2 },\frac{ 1323 }{ 1331 }))=(\frac{ 3 }{ 2 }\cdot ( 11 )^{(-\frac{ 1 }{ 4 })}) $
Typeset by om2tex.xsl

$ {}_2 F_1 (-{\frac{1}{12}},{\frac{7}{12}},{\frac{1}{2}},{\frac{1323}{1331}}) + ...
...rac{3}{2}},{\frac{1323}{1331}})}{242}} = {\frac{3}{2 {{11}^{{\frac{1}{4}}}}}} $
Typeset by Mathematica

Formula in the tfb format:

   (((21 / 242) * 
    hypergeo1.hypergeometric2F1(7 / 12, 11 / 12, 3 / 2, 1323 / 1331)) +
    hypergeo1.hypergeometric2F1(arith1.unary_minus(1 / 12), 7 / 12, 
     1 / 2, 1323 / 1331))
   =
   ((3 / 2) * arith1.power(11, arith1.unary_minus(1 / 4)));

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

Reference: Retrieve the formula in Mathematica form h21-0162-math-auto.m Retrieve the formula in Risa/Asir form h21-0162-asir-auto.rr Retrieve the formula in LaTeX form h21-0162-tex-auto.tex Interactive replacement h21-0162-js-auto.html


Nobuki Takayama 2003-02-03