DLMF:18.27.E24 (Q5975): Difference between revisions

Revision as of 01:52, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:18.27.E24	No description defined

{\displaystyle{\displaystyle\sum_{\ell=-\infty}^{\infty}\left(\tilde{h}_{n}% \left(cq^{\ell};q\right)\tilde{h}_{m}\left(cq^{\ell};q\right)+\tilde{h}_{n}% \left(-cq^{\ell};q\right)\tilde{h}_{m}\left(-cq^{\ell};q\right)\right)\frac{q^% {\ell}}{\left(-c^{2}q^{2\ell};q^{2}\right)_{\infty}}=2\frac{\left(q^{2},-c^{2}% q,-c^{-2}q;q^{2}\right)_{\infty}}{\left(q,-c^{2},-c^{-2}q^{2};q^{2}\right)_{% \infty}}\frac{\left(q;q\right)_{n}}{q^{n^{2}}}\delta_{n,m},}}

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DLMF:18.27.E24

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{\displaystyle{\displaystyle c>0}}

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{\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}

introduction.Sx4.p1.t1.r4.m5ahdec

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{\displaystyle{\displaystyle\tilde{h}_{\NVar{n}}\left(\NVar{x};\NVar{q}\right)}}

C18.S27.E23.m2aadec

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@@ Property / Symbols used @@
+discrete $$q$$ -Hermite II polynomial
@@ Property / Symbols used: discrete $$q$$ -Hermite II polynomial / rank @@
+Normal rank
@@ Property / Symbols used: discrete $$q$$ -Hermite II polynomial / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\tilde{h}_{\NVar{n}}\left(\NVar{x};\NVar{q}\right)}}$ 
\discqHermitepolyhII{\NVar{n}}@{\NVar{x}}{\NVar{q}}
@@ Property / Symbols used: discrete $$q$$ -Hermite II polynomial / qualifier @@
+xml-id: C18.S27.E23.m2aadec