Formula:KLS:14.20:07
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle x\moniclittleqLaguerre{n}@@{x}{a}{q}=\moniclittleqLaguerre{n+1}@@{x}{a}{q}+(A_n+C_n)\moniclittleqLaguerre{n}@@{x}{a}{q}+aq^{2n-1}(1-q^n)(1-aq^n)\moniclittleqLaguerre{n-1}@@{x}{a}{q} }}
Substitution(s)
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle C_n=aq^n(1-q^n)}}
&
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle A_n=q^n(1-aq^{n+1})}}
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle A_n=q^n(1-aq^{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 little Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}}
-Laguerre/Wall polynomial : http://drmf.wmflabs.org/wiki/Definition:moniclittleqLaguerre
Bibliography
Equation in Section 14.20 of KLS.
URL links
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