Formula:KLS:14.16:24

<< Formula:KLS:14.16:23

formula in Affine q-Krawtchouk

Formula:KLS:14.16:25 >>

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

Proof

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Symbols List

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

Bibliography

Equation in Section 14.16 of KLS.

URL links

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<< Formula:KLS:14.16:23

formula in Affine q-Krawtchouk

Formula:KLS:14.16:25 >>