Formula:KLS:14.18:10

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle x\monicctsbigqHermite{n}@@{x}{a}{q}=\monicctsbigqHermite{n+1}@@{x}{a}{q}+\frac{1}{2}aq^n\monicctsbigqHermite{n}@@{x}{a}{q}+\frac{1}{4}(1-q^n)\monicctsbigqHermite{n-1}@@{x}{a}{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 H}_{n}}}  : monic continuous big Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}} -Hermite polynomial : http://drmf.wmflabs.org/wiki/Definition:monicctsbigqHermite

Bibliography

Equation in Section 14.18 of KLS.

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