Formula:KLS:14.14:13

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