DLMF:18.27.E21 (Q5972): Difference between revisions
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imported>Admin Admin moved page Main Page to Verifying DLMF with Maple and Mathematica |
imported>Admin Admin moved page Main Page to Verifying DLMF with Maple and Mathematica |
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| Property / Symbols used | |||
| Property / Symbols used: basic hypergeometric (or $$q$$ -hypergeometric) function / rank | |||
Normal rank | |||
| Property / Symbols used: basic hypergeometric (or $$q$$ -hypergeometric) function / qualifier | |||
test: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperphi{\NVar{r+1}}{\NVar{s}}@{\NVar{a_{0},\dots,a_{r}}}{\NVar{b_{1},\dots,b_{s}}}{\NVar{q}}{\NVar{z}}}\qgenhyperphi{\NVar{r+1}}{\NVar{s}}@{\NVar{a_{0},\dots,a_{r}}}{\NVar{b_{1},\dots,b_{s}}}{\NVar{q}}{\NVar{z}} | |||
| Property / Symbols used: basic hypergeometric (or $$q$$ -hypergeometric) function / qualifier | |||
xml-id: C17.S4.E1.m2aedec | |||
Revision as of 00:51, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:18.27.E21 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \discqHermitepolyhI{n}@{x}{q}=\qPochhammer{q}{q}{n}\sum_{\ell=0}^{\floor{n/2}}\frac{(-1)^{\ell}q^{\ell(\ell-1)}x^{n-2\ell}}{\qPochhammer{q^{2}}{q^{2}}{\ell}\qPochhammer{q}{q}{n-2\ell}}=x^{n}\qgenhyperphi{2}{0}@@{q^{-n},q^{-n+1}}{-}{q^{2}}{x^{-2}q^{2n-1}}.}
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