Formula:KLS:14.24:06

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (1-q^n)x^2y(x)=aq^{n-1}y(qx)-\left[aq^{n-1}+q^n(1-x)(a-x)\right]y(x) {}+q^n(1-x)(a-x)y(q^{-1}x) }}

Substitution(s)

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle y(x)=\AlSalamCarlitzI{a}{n}@{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 U^{(n)}_{\alpha}}}  : Al-Salam-Carlitz I polynomial : http://drmf.wmflabs.org/wiki/Definition:AlSalamCarlitzI

Bibliography

Equation in Section 14.24 of KLS.

URL links

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