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h21-0204

Edited by Hiromasa Nakayama

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

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

Formula in the tfb format:

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

quadratic transformation of independent variable

Reference: Retrieve the formula in Mathematica form h21-0204-math-auto.m Retrieve the formula in Risa/Asir form h21-0204-asir-auto.rr Retrieve the formula in LaTeX form h21-0204-tex-auto.tex Interactive replacement h21-0204-js-auto.html


Nobuki Takayama 2003-02-03