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hpq-0011

Edited by Hiromasa Nakayama

$  {}_pF_q({\tt List}(a,( 1 +\frac{a}{ 2 }),b,(-n)),{\tt List}(\frac{a}{ 2 },((...
...pergeo0.pochhammer}
(( 1 +a),n)}{
{\tt hypergeo0.pochhammer}
((( 1 +a)-b),n)} $
Typeset by om2tex.xsl

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

Formula in the tfb format:

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

Summation thorems for ordinary hypergeometric series

Reference: Retrieve the formula in Mathematica form hpq-0011-math-auto.m Retrieve the formula in Risa/Asir form hpq-0011-asir-auto.rr Retrieve the formula in LaTeX form hpq-0011-tex-auto.tex Interactive replacement hpq-0011-js-auto.html


Nobuki Takayama 2003-02-03