Formula:KLS:14.25:20

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \lim_{q\rightarrow 1}\frac{\AlSalamCarlitzII{\iunit a\sqrt{1-q^2}-1}{n}@{\iunit x\sqrt{1-q^2}}{q}} {\iunit^n(1-q^2)^{\frac{n}{2}}}=\frac{\Hermite{n}@{x-a}}{2^n} }}

Proof

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Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle V^{(n)}_{\alpha}}}  : Al-Salam-Carlitz II polynomial : http://drmf.wmflabs.org/wiki/Definition:AlSalamCarlitzII
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \mathrm{i}}}  : imaginary unit : http://dlmf.nist.gov/1.9.i
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle H_{n}}}  : Hermite polynomial Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle H_n}}  : http://dlmf.nist.gov/18.3#T1.t1.r28

Bibliography

Equation in Section 14.25 of KLS.

URL links

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