Formula:KLS:14.07:18

<< Formula:KLS:14.07:17

formula in Dual q-Hahn

Formula:KLS:14.07:19 >>

${\displaystyle{\displaystyle{\displaystyle w(x;\gamma,\delta,N|q)=\frac{\left(\gamma q,\gamma\delta q,q^{-N};q\right)_{x}}{\left(q,\gamma\delta q^{N+2},\delta q;q\right)_{x}}(-\gamma^{-1})^{x}q^{Nx-\binomial{x}{2}}}}}$

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

${\displaystyle{\displaystyle{\displaystyle(a;q)_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1
${\displaystyle{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{n}{k}}}}$ : binomial coefficient : http://dlmf.nist.gov/1.2#E1 http://dlmf.nist.gov/26.3#SS1.p1

Bibliography

Equation in Section 14.7 of KLS.

URL links

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

<< Formula:KLS:14.07:17

formula in Dual q-Hahn

Formula:KLS:14.07:19 >>