DLMF:17.5.E1 (Q5363): 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.m2adec | |||
Revision as of 14:56, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:17.5.E1 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperphi{0}{0}@{-}{-}{q}{z}=\sum_{n=0}^{\infty}\frac{(-1)^{n}q^{\binom{n}{2}}z^{n}}{\qPochhammer{q}{q}{n}}=\qPochhammer{z}{q}{\infty},}
0 references
DLMF:17.5.E1
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |z|<1}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \binom{\NVar{m}}{\NVar{n}}}
C1.S2.SS1.m1adec
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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.m2adec
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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.m2adec
0 references