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hpq-0019

Edited by Hiromasa Nakayama

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

$
{\tt hypergeo0HypergeometricPFq}
(\{ a,1 + {\frac{a}{2}},{\frac{d}{2}},{\fra...
...t)  d,n)}{
{\tt Pochhammer}
(1 + a - b,n) 
{\tt Pochhammer}
(3 a - d,n)}} $
Typeset by Mathematica

Formula in the tfb format:

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

Summation theorems for ordinary hypergeometric series

Reference: Retrieve the formula in Mathematica form hpq-0019-math-auto.m Retrieve the formula in Risa/Asir form hpq-0019-asir-auto.rr Retrieve the formula in LaTeX form hpq-0019-tex-auto.tex Interactive replacement hpq-0019-js-auto.html


Nobuki Takayama 2003-02-03