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hpq-0209

Edited by Hiromasa Nakayama

$ (\frac{ 1 }{((( 2 )^{b}\cdot \Gamma(((\frac{ 1 }{ 2 }+\frac{b}{ 2 })+\frac{c}{...
...rac{((( 1 +a)+c)-b)}{ 2 }),{\tt List}(((a+c)-b),\frac{(( 1 +a)+c)}{ 2 }), 1 )) $
Typeset by om2tex.xsl

$ {\frac{ {}_pF_q(\{ b,{\frac{-a}{2}} + {\frac{b}{2}} + {\frac{c}{2}},{\frac{1}...
...2}} + {\frac{c}{2}}) \Gamma ({\frac{1}{2}} + {\frac{a}{2}} + {\frac{c}{2}})}} $
Typeset by Mathematica

Formula in the tfb format:

    (1 / (arith1.power(2, b) *
      hypergeo0.gamma(1 / 2 + (b / 2) + (c / 2)) *
      hypergeo0.gamma(c / 2 - (b / 2))) *
     hypergeo1.hypergeometric_pFq(
      list1.list(b, (b + c - a) / 2, (1 + b + c - a) / 2),
      list1.list(b + c - a, (1 + b + c) / 2), 1))
    =
    (1 / (arith1.power(2, a) *
      hypergeo0.gamma(1 / 2 + (a / 2) + (c / 2)) *
      hypergeo0.gamma(c / 2 - (a / 2))) *
     hypergeo1.hypergeometric_pFq(
      list1.list(a, (a + c - b) / 2, (1 + a + c - b) / 2),
      list1.list(a + c - b, (1 + a + c) / 2), 1));

Some identities involving hypergeometric series of lower orders

Reference: Retrieve the formula in Mathematica form hpq-0209-math-auto.m Retrieve the formula in Risa/Asir form hpq-0209-asir-auto.rr Retrieve the formula in LaTeX form hpq-0209-tex-auto.tex Interactive replacement hpq-0209-js-auto.html


Nobuki Takayama 2003-02-03