Formula:KLS:14.17:08

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle x\monicdualqKrawtchouk{n}@@{x}{c}{N}{q}=\monicdualqKrawtchouk{n+1}@@{x}{c}{N}{q}+(1+c)q^{n-N}\monicdualqKrawtchouk{n}@@{x}{c}{N}{q} {}+cq^{-N}(1-q^n)(1-q^{n-N-1})\monicdualqKrawtchouk{n-1}@@{x}{c}{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 {\widehat K}_{n}}}  : monic dual 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:monicdualqKrawtchouk

Bibliography

Equation in Section 14.17 of KLS.

URL links

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