Formula:KLS:14.14:05
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\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
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle {\widehat K^{\mathrm{qtm}}}_{n}}}
: monic quantum Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}}
-Krawtchouk polynomial : http://drmf.wmflabs.org/wiki/Definition:monicqtmqKrawtchouk
Bibliography
Equation in Section 14.14 of KLS.
URL links
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