Formula:KLS:01.13:03

<< Formula:KLS:01.13:02

formula in Transformation formulas

Formula:KLS:01.13:04 >>

${\displaystyle{\displaystyle{\displaystyle{}{}\qHyperrphis{2}{1}@@{a,b}{c}{q}{z}=\frac{\left(abc^{-1}z;q\right)_{\infty}}{\left(z;q\right)_{\infty}}\ \qHyperrphis{2}{1}@@{a^{-1}c,b^{-1}c}{c}{q}{\frac{abz}{c}}.}}}$

Proof

We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.

Symbols List

${\displaystyle{\displaystyle{\displaystyle{{}_{r}\phi_{s}}}}}$ : basic hypergeometric (or ${\displaystyle{\displaystyle{\displaystyle q}}}$-hypergeometric) function : http://dlmf.nist.gov/17.4#E1
${\displaystyle{\displaystyle{\displaystyle(a;q)_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1

Bibliography

Equation in Section 1.13 of KLS.

URL links

We ask users to provide relevant URL links in this space.

<< Formula:KLS:01.13:02

formula in Transformation formulas

Formula:KLS:01.13:04 >>