Formula:KLS:01.07:05

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formula in Transformation formulas

Formula:KLS:01.07:06 >>

${\displaystyle{\displaystyle{\displaystyle\HyperpFq{2}{1}@@{-n,b}{c}{x}=\frac{{\left(b\right)_{n}}}{{\left(c\right)_{n}}}(-x)^{n}\,\HyperpFq{2}{1}@@{-n,-c-n+1}{-b-n+1}{\frac{1}{x}}}}}$

Constraint(s)

${\displaystyle{\displaystyle{\displaystyle n=0,1,2,\ldots}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle{{}_{p}F_{q}}}}}$ : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1
${\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}$ : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii

Bibliography

Equation in Section 1.7 of KLS.

URL links

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