Formula:KLS:14.25:15

<< Formula:KLS:14.25:14

formula in Al-Salam-Carlitz II

Formula:KLS:14.25:16 >>

${\displaystyle{\displaystyle{\displaystyle\left(at;q\right)_{\infty}\cdot\qHyperrphis{1}{1}@@{x}{at}{q}{t}=\sum_{n=0}^{\infty}\frac{q^{n(n-1)}}{\left(q;q\right)_{n}}V^{(a)}_{n}\!\left(x;q\right)t^{n}}}}$

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
${\displaystyle{\displaystyle{\displaystyle\Sigma}}}$ : sum : http://drmf.wmflabs.org/wiki/Definition:sum
${\displaystyle{\displaystyle{\displaystyle V^{(n)}_{\alpha}}}}$ : Al-Salam-Carlitz II polynomial : http://drmf.wmflabs.org/wiki/Definition:AlSalamCarlitzII

Bibliography

Equation in Section 14.25 of KLS.

URL links

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

<< Formula:KLS:14.25:14

formula in Al-Salam-Carlitz II

Formula:KLS:14.25:16 >>