Formula:KLS:14.27:19

<< Formula:KLS:14.27:18

formula in Stieltjes-Wigert

Stieltjes-Wigert >>

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

Proof

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Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (a;q)_n}}  : Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}} -Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle S_{n}}}  : Stieltjes-Wigert polynomial : http://drmf.wmflabs.org/wiki/Definition:StieltjesWigert
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 14.27 of KLS.

URL links

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<< Formula:KLS:14.27:18

formula in Stieltjes-Wigert

Stieltjes-Wigert >>