Formula:KLS:14.16:14
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (1-pq^x)(1-q^{-x+N+1})\AffqKrawtchouk{n}@{q^{-x}}{p}{N}{q}-p(1-q^x)\AffqKrawtchouk{n}@{q^{-x+1}}{p}{N}{q} {}=(1-p)(1-q^{N+1})\AffqKrawtchouk{n+1}@{q^{-x}}{pq^{-1}}{N+1}{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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