Formula:KLS:14.21:07

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

Bibliography

Equation in Section 14.21 of KLS.

URL links

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