DLMF:17.4.E3 (Q5352): Difference between revisions
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Created a new Item: Wikidata Toolkit example test item creation |
Changed an Item: Wikidata Toolkit example test statement addition |
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| Property / Symbols defined | |||
| Property / Symbols defined: bilateral basic hypergeometric (or bilateral $$q$$ -hypergeometric) function / rank | |||
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Revision as of 15:20, 30 December 2019
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:17.4.E3 |
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Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperpsi{r}{s}@@{a_{1},a_{2},\dots,a_{r}}{b_{1},b_{2},\dots,b_{s}}{q}{z}=\qgenhyperpsi{r}{s}@{a_{1},a_{2},\dots,a_{r}}{b_{1},b_{2},\dots,b_{s}}{q}{z}=\sum_{n=-\infty}^{\infty}\frac{\qmultiPochhammersym{a_{1},a_{2},\dots,a_{r}}{q}{n}(-1)^{(s-r)n}q^{(s-r)\binom{n}{2}}z^{n}}{\qmultiPochhammersym{b_{1},b_{2},\dots,b_{s}}{q}{n}}=\sum_{n=0}^{\infty}\frac{\qmultiPochhammersym{a_{1},a_{2},\dots,a_{r}}{q}{n}(-1)^{(s-r)n}q^{(s-r)\binom{n}{2}}z^{n}}{\qmultiPochhammersym{b_{1},b_{2},\dots,b_{s}}{q}{n}}+\sum_{n=1}^{\infty}\frac{\qmultiPochhammersym{q/b_{1},q/b_{2},\dots,q/b_{s}}{q}{n}}{\qmultiPochhammersym{q/a_{1},q/a_{2},\dots,q/a_{r}}{q}{n}}\left(\frac{b_{1}b_{2}\cdots b_{s}}{a_{1}a_{2}\cdots a_{r}z}\right)^{n}.}
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DLMF:17.4.E3
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