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hpq-0015

Edited by Hiromasa Nakayama

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

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

Formula in the tfb format:

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

Summation theorems for ordinary hypergeometric series

Reference: Retrieve the formula in Mathematica form hpq-0015-math-auto.m Retrieve the formula in Risa/Asir form hpq-0015-asir-auto.rr Retrieve the formula in LaTeX form hpq-0015-tex-auto.tex Interactive replacement hpq-0015-js-auto.html


Nobuki Takayama 2003-02-03