Formula:KLS:14.23:06

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle x\monicqCharlier{n}@@{x}{a}{q}=\monicqCharlier{n+1}@@{x}{a}{q}+\left[1+q^{-2n-1}\left\{a+q(1-q^n)(a+q^n)\right\}\right]\monicqCharlier{n}@@{x}{a}{q} {}+aq^{-4n+1}(1-q^n)(a+q^n)\monicqCharlier{n-1}@@{x}{a}{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 C}_{n}}}  : monic Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}} -Charlier polynomial : http://drmf.wmflabs.org/wiki/Definition:monicqCharlier

Bibliography

Equation in Section 14.23 of KLS.

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