DLMF:17.6.E10 (Q5377): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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| (4 intermediate revisions by the same user not shown) | |||
| 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.m2aidec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11713 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11713 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qmultiPochhammersym{\NVar{a_{1},a_{2},\dots,a_{r}}}{\NVar{q}}{\NVar{n}}}\qmultiPochhammersym{\NVar{a_{1},a_{2},\dots,a_{r}}}{\NVar{q}}{\NVar{n}} | |||
| Property / Symbols used: Q11713 / qualifier | |||
xml-id: C17.S2.SS1.p1.m6afdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11710 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11710 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}q | |||
| Property / Symbols used: Q11710 / qualifier | |||
xml-id: C17.S1.XMD10.m1idec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11711 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11711 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}n | |||
| Property / Symbols used: Q11711 / qualifier | |||
xml-id: C17.S1.XMD4.m1cdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11718 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11718 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
| Property / Symbols used: Q11718 / qualifier | |||
xml-id: C17.S1.XMD7.m1ddec | |||
Latest revision as of 13:58, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:17.6.E10 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (1-z)\qgenhyperphi{2}{1}@@{q,aq}{bq}{q}{z}=\sum_{n=0}^{\infty}\frac{\qPochhammer{b/a}{q}{n}(-az)^{n}q^{(n^{2}+n)/2}}{\qmultiPochhammersym{bq,zq}{q}{n}},}
0 references
DLMF:17.6.E10
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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 \qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}}}
C17.S2.SS1.p1.m2afdec
0 references
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.m2aidec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qmultiPochhammersym{\NVar{a_{1},a_{2},\dots,a_{r}}}{\NVar{q}}{\NVar{n}}}
C17.S2.SS1.p1.m6afdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}
C17.S1.XMD10.m1idec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
C17.S1.XMD4.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C17.S1.XMD7.m1ddec
0 references