Formula:KLS:14.16:06
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
We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.
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
We ask users to provide relevant URL links in this space.