Formula:KLS:14.11:07
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle x\monicbigqLaguerre{n}@@{x}{a}{b}{q}=\monicbigqLaguerre{n+1}@@{x}{a}{b}{q}+\left[1-(A_n+C_n)\right]\monicbigqLaguerre{n}@@{x}{a}{b}{q} {}-abq^{n+1}(1-q^n)(1-aq^n)(1-bq^n)\monicbigqLaguerre{n-1}@@{x}{a}{b}{q} }}
Substitution(s)
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle C_n=-abq^{n+1}(1-q^n)}}
&
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle A_n=(1-aq^{n+1})(1-bq^{n+1})}}
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle A_n=(1-aq^{n+1})(1-bq^{n+1})}}
Proof
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Symbols List
& : logical and
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle {\widehat P}_{n}}}
: monic big 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:monicbigqLaguerre
Bibliography
Equation in Section 14.11 of KLS.
URL links
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