Formula:KLS:14.16:06
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle x\monicAffqKrawtchouk{n}@@{x}{p}{N}{q}=\monicAffqKrawtchouk{n+1}@@{x}{p}{N}{q}+ \left[1-\left\{(1-q^{n-N})(1-pq^{n+1})-pq^{n-N}(1-q^n)\right\}\right]\monicAffqKrawtchouk{n}@@{x}{p}{N}{q} {}-pq^{n-N}(1-q^n)(1-pq^n)(1-q^{n-N-1})\monicAffqKrawtchouk{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{Aff}}_{n}}}
: monic affine 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:monicAffqKrawtchouk
Bibliography
Equation in Section 14.16 of KLS.
URL links
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