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h21-0208

Edited by Hiromasa Nakayama

$  {}_2F_1(( 4 \cdot a),\frac{ 1 }{ 2 },(( 2 \cdot a)+\frac{ 3 }{ 4 }),x)=((( 1...
...3 }{ 4 }),\frac{(((- 16 )\cdot x)\cdot ( 1 -x))}{(( 1 -( 2 \cdot x)))^{ 4 }})) $
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}{{{\left( 1 - 2 x \right) }^4}}})}{{{\left( 1 - 2 x \right) }^{4 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.minus~ (2 ~arith1.times~ x), arith1.unary_minus(4)
      ~arith1.times~ a) ~arith1.times~ 
      hypergeo1.hypergeometric2F1(a, a ~arith1.plus~ (1 ~arith1.divide~ 4),
        (2 ~arith1.times~ a) ~arith1.plus~ (3 ~arith1.divide~ 4),
	arith1.unary_minus(16) ~arith1.times~ x ~arith1.times~ (1 
~arith1.minus~ x)
	~arith1.divide~ arith1.power(1 ~arith1.minus~ (2 ~arith1.times~ x), 
4)));

quadratic transformation of independent variable

Reference: Retrieve the formula in Mathematica form h21-0208-math-auto.m Retrieve the formula in Risa/Asir form h21-0208-asir-auto.rr Retrieve the formula in LaTeX form h21-0208-tex-auto.tex Interactive replacement h21-0208-js-auto.html


Nobuki Takayama 2003-02-03