Formula:KLS:01.04:05

<< Formula:KLS:01.04:04

formula in Hypergeometric functions

Formula:KLS:01.04:06 >>

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

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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