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hpq-0013

Edited by Hiromasa Nakayama

$  {}_pF_q({\tt List}(a,( 1 +\frac{a}{ 2 }),b,c,(-n)),{\tt List}(\frac{a}{ 2 },...
...ochhammer}
((( 1 +a)-b),n)\cdot
{\tt hypergeo0.pochhammer}
((( 1 +a)-c),n))} $
Typeset by om2tex.xsl

$ {\frac{ {}_pF_q(\{ a,b,c,-n\} ,\{ 1 + a - b,1 + a - c,1 + a + n\} ,1) + 3 a\...
...b - c,n)}{
{\tt Pochhammer}
(1 + a - b,n) 
{\tt Pochhammer}
(1 + a - c,n)}} $
Typeset by Mathematica

Formula in the tfb format:

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

Summation theorems for ordinary hypergeometric series

Reference: Retrieve the formula in Mathematica form hpq-0013-math-auto.m Retrieve the formula in Risa/Asir form hpq-0013-asir-auto.rr Retrieve the formula in LaTeX form hpq-0013-tex-auto.tex Interactive replacement hpq-0013-js-auto.html


Nobuki Takayama 2003-02-03