Formula:KLS:01.10:10

<< Formula:KLS:01.10:09

formula in Basic hypergeometric functions

Formula:KLS:01.10:11 >>

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

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle{{}_{r}\phi_{s}}}}}$ : basic hypergeometric (or ${\displaystyle{\displaystyle{\displaystyle q}}}$-hypergeometric) function : http://dlmf.nist.gov/17.4#E1

Bibliography

Equation in Section 1.10 of KLS.

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<< Formula:KLS:01.10:09

formula in Basic hypergeometric functions

Formula:KLS:01.10:11 >>