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h21-0200

Edited by Hiromasa Nakayama

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

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

Formula in the tfb format:

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

quadratic transformation of independent variable

Reference: Retrieve the formula in Mathematica form h21-0200-math-auto.m Retrieve the formula in Risa/Asir form h21-0200-asir-auto.rr Retrieve the formula in LaTeX form h21-0200-tex-auto.tex Interactive replacement h21-0200-js-auto.html


Nobuki Takayama 2003-02-03