Formula:KLS:14.19:10

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle x\monicctsqLaguerre{\alpha}{n}@@{x}{q}=\monicctsqLaguerre{\alpha}{n+1}@@{x}{q}+\frac{1}{2}q^{n+\frac{1}{2}\alpha+\frac{1}{4}}(1+q^{\frac{1}{2}})\monicctsqLaguerre{\alpha}{n}@@{x}{q} {}+\frac{1}{4}(1-q^n)(1-q^{n+\alpha})\monicctsqLaguerre{\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 P}^{(\alpha)}_{n}}}  : monic continuous 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:monicctsqLaguerre

Bibliography

Equation in Section 14.19 of KLS.

URL links

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