Formula:KLS:14.15:21

<< Formula:KLS:14.15:20

formula in q-Krawtchouk

Formula:KLS:14.15:22 >>

${\displaystyle{\displaystyle{\displaystyle\lim_{\alpha\rightarrow 0}Q_{n}(q^{-x};\alpha,-\alpha^{-1}q^{-1}p,N|q)=K_{n}\!\left(q^{-x};p,N;q\right)}}}$

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

Bibliography

Equation in Section 14.15 of KLS.

URL links

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<< Formula:KLS:14.15:20

formula in q-Krawtchouk

Formula:KLS:14.15:22 >>