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h21-0207

Edited by Hiromasa Nakayama

$  {}_2F_1(( 4 \cdot a),\frac{ 1 }{ 2 },(( 2 \cdot a)+\frac{ 3 }{ 4 }),x)=(((( ...
...6 \cdot x)\cdot ( 1 -x))}{((( 1 +( 4 \cdot x))-( 4 \cdot (x)^{ 2 })))^{ 2 }})) $
Typeset by om2tex.xsl

$ {}_2 F_1 (4 a,{\frac{1}{2}},{\frac{3}{4}} + 2 a,x) = {\frac{{}_2 F_1 (a,{\fr...
...x - 4 {x^2} \right) }^2}}})}{{{\left( 1 + 4 x - 4 {x^2} \right) }^{2 a}}}} $
Typeset by Mathematica

Formula in the tfb format:

    hypergeo1.hypergeometric2F1(4 ~arith1.times~ a, 1 ~arith1.divide~ 2,
      2 ~arith1.times~ a ~arith1.plus~ (3 ~arith1.divide~ 4), x)
    ~relation1.eq~
    (arith1.power(1 ~arith1.plus~ (4 ~arith1.times~ x) ~arith1.minus~ 
      (4 ~arith1.times~ arith1.power(x, 2)), arith1.unary_minus(2)
      ~arith1.times~ a) ~arith1.times~
      hypergeo1.hypergeometric2F1(a, a ~arith1.plus~ (1 ~arith1.divide~ 2),
        (2 ~arith1.times~ a) ~arith1.plus~ (3 ~arith1.divide~ 4),
	16 ~arith1.times~ x ~arith1.times~ (1 ~arith1.minus~ x)
	~arith1.divide~ arith1.power(1 ~arith1.plus~ (4 ~arith1.times~ x) 
	~arith1.minus~ (4 ~arith1.times~ arith1.power(x, 2)), 2)));

quadratic transformation of independent variable

Reference: Retrieve the formula in Mathematica form h21-0207-math-auto.m Retrieve the formula in Risa/Asir form h21-0207-asir-auto.rr Retrieve the formula in LaTeX form h21-0207-tex-auto.tex Interactive replacement h21-0207-js-auto.html


Nobuki Takayama 2003-02-03