Formula:KLS:14.19:09
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle 2x\ctsqLaguerre{\alpha}{n}@{x}{q}=q^{-\frac{1}{2}\alpha-\frac{1}{4}}(1-q^{n+1})\ctsqLaguerre{\alpha}{n+1}@{x}{q} {}+q^{n+\frac{1}{2}\alpha+\frac{1}{4}}(1+q^{\frac{1}{2}})\ctsqLaguerre{\alpha}{n}@{x}{q} {}+q^{\frac{1}{2}\alpha+\frac{1}{4}}(1-q^{n+\alpha})\ctsqLaguerre{\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 P^{(n)}_{\alpha}}}
: 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:ctsqLaguerre
Bibliography
Equation in Section 14.19 of KLS.
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