# Formula:KLS:01.11:09

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$\displaystyle {\displaystyle \index{q-Saalschutz summation formula@q-Saalsch\"{u}tz summation formula}\index{Summation formula!q-Saalschutz@q-Saalsch\"{u}tz}\index{q-Pfaff-Saalschutz summation formula@q-Pfaff-Saalsch\"{u}tz summation formula}\index{Summation formula!q-Pfaff-Saalschutz@q-Pfaff-Saalsch\"{u}tz} \qHyperrphis{3}{2}@@{q^{-n},a,b}{c,abc^{-1}q^{1-n}}{q}{q}=\frac{\qPochhammer{a^{-1}c,b^{-1}c}{q}{n}} {\qPochhammer{c,a^{-1}b^{-1}c}{q}{n}} }$

## Constraint(s)

$\displaystyle {\displaystyle n=0,1,2,\ldots}$

## 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

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