DLMF:30.11.E3 (Q8897): 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: Q12409 / rank | |||
Normal rank | |||
| Property / Symbols used: Q12409 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n\geq m}n\geq m | |||
| Property / Symbols used: Q12409 / qualifier | |||
xml-id: C30.S1.XMD5.m1dec | |||
| Property / Symbols used | |||
| Property / Symbols used: spherical function (locally) / rank | |||
Normal rank | |||
| Property / Symbols used: spherical function (locally) / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \psi_{k}^{(j)}(z)}\psi_{k}^{(j)}(z) | |||
| Property / Symbols used: spherical function (locally) / qualifier | |||
xml-id: C30.S11.XMD3.m1adec | |||
| Property / Symbols used | |||
| Property / Symbols used: DLMF:30.11.E4 / rank | |||
Normal rank | |||
| Property / Symbols used: DLMF:30.11.E4 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{n}^{m}(\gamma^{2})}A_{n}^{m}(\gamma^{2}) | |||
| Property / Symbols used: DLMF:30.11.E4 / qualifier | |||
xml-id: C30.S11.XMD5.m1dec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q12404 / rank | |||
Normal rank | |||
| Property / Symbols used: Q12404 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \gamma^{2}}\gamma^{2} | |||
| Property / Symbols used: Q12404 / qualifier | |||
xml-id: C30.S2.XMD3.m1dec | |||
| Property / Symbols used | |||
| Property / Symbols used: coefficients (locally) / rank | |||
Normal rank | |||
| Property / Symbols used: coefficients (locally) / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a^{m}_{n,k}(\gamma^{2})}a^{m}_{n,k}(\gamma^{2}) | |||
| Property / Symbols used: coefficients (locally) / qualifier | |||
xml-id: C30.S8.XMD2.m1dec | |||
Latest revision as of 00:48, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:30.11.E3 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radsphwaveS{m}{j}{n}@{z}{\gamma}=\frac{(1-z^{-2})^{\frac{1}{2}m}}{A_{n}^{-m}(\gamma^{2})}\sum_{2k\geq m-n}a^{-m}_{n,k}(\gamma^{2})\psi_{n+2k}^{(j)}(\gamma z).}
0 references
DLMF:30.11.E3
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C30.S1.XMD1.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C30.S1.XMD4.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n\geq m}
C30.S1.XMD5.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \psi_{k}^{(j)}(z)}
C30.S11.XMD3.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{n}^{m}(\gamma^{2})}
C30.S11.XMD5.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \gamma^{2}}
C30.S2.XMD3.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a^{m}_{n,k}(\gamma^{2})}
C30.S8.XMD2.m1dec
0 references