Formula:KLS:14.22:22

<< Formula:KLS:14.22:21

formula in q-Bessel

Formula:KLS:14.22:23 >>

${\displaystyle{\displaystyle{\displaystyle\lim_{N\rightarrow\infty}K_{n}\!\left(q^{x-N};p,N;q\right)=y_{n}\!\left(q^{x};p;q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle K_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Krawtchouk polynomial : http://drmf.wmflabs.org/wiki/Definition:qKrawtchouk
${\displaystyle{\displaystyle{\displaystyle y_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Bessel polynomial : http://drmf.wmflabs.org/wiki/Definition:qBessel

Bibliography

Equation in Section 14.22 of KLS.

URL links

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<< Formula:KLS:14.22:21

formula in q-Bessel

Formula:KLS:14.22:23 >>