Formula:KLS:01.04:07

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formula in Hypergeometric functions

Formula:KLS:01.04:08 >>

${\displaystyle{\displaystyle{\displaystyle\lim\limits_{\lambda\rightarrow\infty}\HyperpFq{r}{s}@@{a_{1},\ldots,a_{r-1},\lambda a_{r}}{b_{1},\ldots,b_{s-1},\lambda b_{s}}{z}=\HyperpFq{r-1}{s-1}@@{a_{1},\ldots,a_{r-1}}{b_{1},\ldots,b_{s-1}}{\frac{a_{r}z}{b_{s}}}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle{{}_{p}F_{q}}}}}$ : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1

Bibliography

Equation in Section 1.4 of KLS.

URL links

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formula in Hypergeometric functions

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