Formula:KLS:01.10:07

<< Formula:KLS:01.10:06

formula in Basic hypergeometric functions

Formula:KLS:01.10:08 >>

${\displaystyle{\displaystyle{\displaystyle{{}_{r}\phi_{s}}\!\left({a_{1},\ldots,a_{r-1},\mu\atop b_{1},\ldots,b_{s-1},\mu};q,z\right)={{}_{r-1}\phi_{s-1}}\!\left({a_{1},\ldots,a_{r-1}\atop b_{1},\ldots,b_{s-1}};q,z\right)}}}$

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:01.10:06

formula in Basic hypergeometric functions

Formula:KLS:01.10:08 >>