Formula:KLS:14.16:04
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle -(1-q^{-x})\AffqKrawtchouk{n}@@{q^{-x}}{p}{N}{q} {}=(1-q^{n-N})(1-pq^{n+1})\AffqKrawtchouk{n+1}@@{q^{-x}}{p}{N}{q} {}-\left[(1-q^{n-N})(1-pq^{n+1})-pq^{n-N}(1-q^n)\right]\AffqKrawtchouk{n}@@{q^{-x}}{p}{N}{q} {}-pq^{n-N}(1-q^n)\AffqKrawtchouk{n-1}@@{q^{-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 K^{\mathrm{Aff}}_{n}}}
: 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:AffqKrawtchouk
Bibliography
Equation in Section 14.16 of KLS.
URL links
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