DLMF:17.3.E3 (Q5343): 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: Q11298 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11298 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}}}\qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}} | |||
| Property / Symbols used: Q11298 / qualifier | |||
xml-id: C17.S2.SS1.p1.m2abdec | |||
| Property / Symbols used | |||
| Property / Symbols used: $$q$$ -exponential function / rank | |||
Normal rank | |||
| Property / Symbols used: $$q$$ -exponential function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qexp{\NVar{q}}@{\NVar{x}}}\qexp{\NVar{q}}@{\NVar{x}} | |||
| Property / Symbols used: $$q$$ -exponential function / qualifier | |||
xml-id: C17.S3.E1.m2aadec | |||
| 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.m1bdec | |||
| 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.m1bdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11719 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11719 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}x | |||
| Property / Symbols used: Q11719 / qualifier | |||
xml-id: C17.S1.XMD8.m1bdec | |||
Latest revision as of 14:53, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:17.3.E3 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qsin{q}@{x}=\frac{1}{2i}(\qexp{q}@{ix}-\qexp{q}@{-ix})=\sum_{n=0}^{\infty}\frac{(1-q)^{2n+1}(-1)^{n}x^{2n+1}}{\qPochhammer{q}{q}{2n+1}},}
0 references
DLMF:17.3.E3
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2adec
0 references
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.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qexp{\NVar{q}}@{\NVar{x}}}
C17.S3.E1.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}
C17.S1.XMD10.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
C17.S1.XMD4.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
C17.S1.XMD8.m1bdec
0 references