DLMF:17.6.E11 (Q5378): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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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 | |||
Defining formula: 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.m2ajdec | |||
Revision as of 13:58, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:17.6.E11 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{1-z}{1-b}\qgenhyperphi{2}{1}@@{q,aq}{bq}{q}{z}=\sum_{n=0}^{\infty}\frac{\qPochhammer{aq}{q}{n}\qPochhammer{azq/b}{q}{2n}b^{n}}{\qmultiPochhammersym{zq,aq/b}{q}{n}}-aq\sum_{n=0}^{\infty}\frac{\qPochhammer{aq}{q}{n}\qPochhammer{azq/b}{q}{2n+1}(bq)^{n}}{\qPochhammer{zq}{q}{n}\qPochhammer{aq/b}{q}{n+1}},}
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DLMF:17.6.E11
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |z|<1,|b|<1}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}}}
C17.S2.SS1.p1.m2agdec
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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}}}
C17.S4.E1.m2ajdec
0 references