Formula:KLS:14.24:13

<< Formula:KLS:14.24:11

formula in Al-Salam-Carlitz I

Formula:KLS:14.24:14 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle w(x;a;q)\AlSalamCarlitzI{a}{n}@{x}{q}=a^nq^{\frac{1}{2}n(n-3)}(1-q)^n \left(\mathcal{D}_{q^{-1}}\right)^n\left[w(x;a;q)\right] }}

Substitution(s)

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle w(x;a;q)=\qPochhammer{qx,a^{-1}qx}{q}{\infty}}}

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
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

Bibliography

Equation in Section 14.24 of KLS.

URL links

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<< Formula:KLS:14.24:11

formula in Al-Salam-Carlitz I

Formula:KLS:14.24:14 >>