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h21-0161

Edited by Hiromasa Nakayama

$ (( 2 \cdot ( 11 )^{(-\frac{ 1 }{ 4 })})\cdot  {}_2F_1(\frac{ 1 }{ 12 },\frac{ 5 }{ 12 },\frac{ 1 }{ 2 },\frac{ 1323 }{ 1331 }))=\frac{ 3 }{ 2 } $
Typeset by om2tex.xsl

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

Formula in the tfb format:

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

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

Reference: Retrieve the formula in Mathematica form h21-0161-math-auto.m Retrieve the formula in Risa/Asir form h21-0161-asir-auto.rr Retrieve the formula in LaTeX form h21-0161-tex-auto.tex Interactive replacement h21-0161-js-auto.html


Nobuki Takayama 2003-02-03