Formula:KLS:14.14:22

<< Formula:KLS:14.14:21

formula in Quantum q-Krawtchouk

Formula:KLS:14.14:23 >>

${\displaystyle{\displaystyle{\displaystyle\lim_{q\rightarrow 1}K^{\mathrm{qtm}}_{n}\!\left(q^{-x};p,N;q\right)=K_{n}\!\left(x;p^{-1},N\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle K^{\mathrm{qtm}}_{n}}}}$ : quantum ${\displaystyle{\displaystyle{\displaystyle q}}}$-Krawtchouk polynomial : http://drmf.wmflabs.org/wiki/Definition:qtmqKrawtchouk
${\displaystyle{\displaystyle{\displaystyle K_{n}}}}$ : Krawtchouk polynomial : http://dlmf.nist.gov/18.19#T1.t1.r6

Bibliography

Equation in Section 14.14 of KLS.

URL links

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<< Formula:KLS:14.14:21

formula in Quantum q-Krawtchouk

Formula:KLS:14.14:23 >>