Formula:KLS:14.11:07: Difference between revisions

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Latest revision as of 07:37, 22 December 2019


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})}}


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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