Formula:KLS:14.27:18

<< Formula:KLS:14.27:17

formula in Stieltjes-Wigert

Formula:KLS:14.27:19 >>

${\displaystyle{\displaystyle{\displaystyle\lim_{a\rightarrow\infty}C_{n}\!\left(ax;a;q\right)=\left(q;q\right)_{n}S_{n}\!\left(x;q\right)}}}$

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

${\displaystyle{\displaystyle{\displaystyle C_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Charlier polynomial : http://drmf.wmflabs.org/wiki/Definition:qCharlier
${\displaystyle{\displaystyle{\displaystyle(a;q)_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1
${\displaystyle{\displaystyle{\displaystyle S_{n}}}}$ : Stieltjes-Wigert polynomial : http://drmf.wmflabs.org/wiki/Definition:StieltjesWigert

Bibliography

Equation in Section 14.27 of KLS.

URL links

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

<< Formula:KLS:14.27:17

formula in Stieltjes-Wigert

Formula:KLS:14.27:19 >>