Formula:KLS:14.14:03
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle -pq^{2n+1}(1-q^{-x})\qtmqKrawtchouk{n}@@{q^{-x}}{p}{N}{q} {}=(1-q^{n-N})\qtmqKrawtchouk{n+1}@@{q^{-x}}{p}{N}{q} {}-\left[(1-q^{n-N})+q(1-q^n)(1-pq^n)\right]\qtmqKrawtchouk{n}@@{q^{-x}}{p}{N}{q} {}+q(1-q^n)(1-pq^n)\qtmqKrawtchouk{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{qtm}}_{n}}}
: quantum 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:qtmqKrawtchouk
Bibliography
Equation in Section 14.14 of KLS.
URL links
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