Formula:KLS:09.11:11
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \nabla\left[\binomial{N}{x}\left(\frac{p}{1-p}\right)^x\Krawtchouk{n}@{x}{p}{N}\right]= \binomial{N+1}{x}\left(\frac{p}{1-p}\right)^x\Krawtchouk{n+1}@{x}{p}{N+1} }}
Proof
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Symbols List
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \binom{n}{k}}}
: binomial coefficient : http://dlmf.nist.gov/1.2#E1 http://dlmf.nist.gov/26.3#SS1.p1
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle K_{n}}}
: Krawtchouk polynomial : http://dlmf.nist.gov/18.19#T1.t1.r6
Bibliography
Equation in Section 9.11 of KLS.
URL links
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