![{\displaystyle {\displaystyle
\Bigg[(1-t)^{-\alpha-\beta-1}
{}\HyperpFq{4}{3}@@{\frac{1}{2}(\alpha+\beta+1),\frac{1}{2}(\alpha+\beta+2),-x,x+\gamma+\delta+1}{\alpha+1,\beta+\delta+1,\gamma+1}{-\frac{4t}{(1-t)^2}}\Bigg]_N
{}=\sum_{n=0}^N\frac{\pochhammer{\alpha+\beta+1}{n}}{n!}\Racah{n}@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}t^n
}}](/index.php?title=Special:MathShowImage&hash=c114cfd82bf3573a25b1fb696ad88f61&mode=latexml)
Substitution(s)
Proof
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Symbols List
: generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1
: sum : http://drmf.wmflabs.org/wiki/Definition:sum
: Pochhammer symbol : http://dlmf.nist.gov/5.2#iii
: Racah polynomial : http://dlmf.nist.gov/18.25#T1.t1.r4
Bibliography
Equation in Section 9.2 of KLS.
URL links
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