DLMF:18.28.E7

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Math Formula Information

Formula: Failed to parse (unknown function "\AlSalamChiharapolyQ"): {\displaystyle \AlSalamChiharapolyQ{n}@{\cos@@{\theta}}{a}{b}{q}=\AskeyWilsonpolyp{n}@{\cos@@{\theta}}{a}{b}{0}{0}{q}=a^{-n}\sum_{\ell=0}^{n}q^{\ell}\frac{\qPochhammer{abq^{\ell}}{q}{n-\ell}\qPochhammer{q^{-n}}{q}{\ell}}{\qPochhammer{q}{q}{\ell}}\*\prod_{j=0}^{\ell-1}(1-2aq^{j}\cos@@{\theta}+a^{2}q^{2j})=\frac{\qPochhammer{ab}{q}{n}}{a^{n}}\qgenhyperphi{3}{2}@@{q^{-n},ae^{\iunit\theta},ae^{-\iunit\theta}}{ab,0}{q}{q}=\qPochhammer{be^{-\iunit\theta}}{q}{n}e^{\iunit n\theta}\qgenhyperphi{2}{1}@@{q^{-n},ae^{\iunit\theta}}{b^{-1}q^{1-n}e^{\iunit\theta}}{q}{b^{-1}qe^{-\iunit\theta}}.}

Name: DLMF:18.28.E7

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Data Source

https://lct.wmflabs.org/w/index.php?title=Special:EntityPage/Q5982

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