Formula:KLS:14.14:05

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Failed to parse (unknown function "\monicqtmqKrawtchouk"): {\displaystyle {\displaystyle x\monicqtmqKrawtchouk{n}@@{x}{p}{N}{q}=\monicqtmqKrawtchouk{n+1}@@{x}{p}{N}{q}+ \left[1-p^{-1}q^{-2n-1}\left\{(1-q^{n-N})+q(1-q^n)(1-pq^n)\right\}\right]\monicqtmqKrawtchouk{n}@@{x}{p}{N}{q} {}+p^{-2}q^{-4n+1}(1-q^n)(1-pq^n)(1-q^{n-N-1})\monicqtmqKrawtchouk{n-1}@@{x}{p}{N}{q} }}

Proof

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Symbols List

 : monic quantum -Krawtchouk polynomial : http://drmf.wmflabs.org/wiki/Definition:monicqtmqKrawtchouk

Bibliography

Equation in Section 14.14 of KLS.

URL links

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