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h21-0206

Edited by Hiromasa Nakayama

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

$ {}_2 F_1 (4 a,{\frac{1}{2}},{\frac{3}{4}} + 2 a,x) = {{\left( 1 - x \right) ...
...} {}_2 F_1 ({\frac{1}{4}} + 2 a,{\frac{3}{4}} - 2 a,{\frac{3}{4}} + 2 a,x) $
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~ x, (1 ~arith1.divide~ 4) ~arith1.minus~
      (2 ~arith1.times~ a)) ~arith1.times~ 
      hypergeo1.hypergeometric2F1(
        2 ~arith1.times~ a ~arith1.plus~ (1 ~arith1.divide~ 4),
	(3 ~arith1.divide~ 4) ~arith1.minus~ (2 ~arith1.times~ a),
	(2 ~arith1.times~ a) ~arith1.plus~ (3 ~arith1.divide~ 4), x));

quadratic transformation of independent variable

Reference: Retrieve the formula in Mathematica form h21-0206-math-auto.m Retrieve the formula in Risa/Asir form h21-0206-asir-auto.rr Retrieve the formula in LaTeX form h21-0206-tex-auto.tex Interactive replacement h21-0206-js-auto.html


Nobuki Takayama 2003-02-03