Formula:KLS:14.16:22

<< Formula:KLS:14.16:21

formula in Affine q-Krawtchouk

Formula:KLS:14.16:23 >>

${\displaystyle{\displaystyle{\displaystyle R_{n}\!\left(\mu(x);p,0,N\right){q}=K^{\mathrm{Aff}}_{n}\!\left(q^{-x};p,N;q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle R_{n}}}}$ : dual ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:dualqHahn
${\displaystyle{\displaystyle{\displaystyle K^{\mathrm{Aff}}_{n}}}}$ : affine ${\displaystyle{\displaystyle{\displaystyle q}}}$-Krawtchouk polynomial : http://drmf.wmflabs.org/wiki/Definition:AffqKrawtchouk

Bibliography

Equation in Section 14.16 of KLS.

URL links

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<< Formula:KLS:14.16:21

formula in Affine q-Krawtchouk

Formula:KLS:14.16:23 >>