DLMF:30.11.E6 (Q8901): Difference between revisions
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Created a new Item: Wikidata Toolkit example test item creation |
Changed an Item: Add constraint |
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(8 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: order not exceeding / rank | |||
Normal rank | |||
Property / Symbols used: order not exceeding / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}\bigO@{\NVar{x}} | |||
Property / Symbols used: order not exceeding / qualifier | |||
xml-id: C2.S1.E3.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: base of natural logarithm / rank | |||
Normal rank | |||
Property / Symbols used: base of natural logarithm / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}\expe | |||
Property / Symbols used: base of natural logarithm / qualifier | |||
xml-id: C4.S2.E11.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: Q10901 / rank | |||
Normal rank | |||
Property / Symbols used: Q10901 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \imagpart@@}\imagpart@@ | |||
Property / Symbols used: Q10901 / qualifier | |||
xml-id: C1.S9.E2.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: radial spheroidal wave function / rank | |||
Normal rank | |||
Property / Symbols used: radial spheroidal wave function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radsphwaveS{\NVar{m}}{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{\gamma}}}\radsphwaveS{\NVar{m}}{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{\gamma}} | |||
Property / Symbols used: radial spheroidal wave function / qualifier | |||
xml-id: C30.S11.E3.m2afdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12401 / rank | |||
Normal rank | |||
Property / Symbols used: Q12401 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
Property / Symbols used: Q12401 / qualifier | |||
xml-id: C30.S1.XMD1.m1cdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12408 / rank | |||
Normal rank | |||
Property / Symbols used: Q12408 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}m | |||
Property / Symbols used: Q12408 / qualifier | |||
xml-id: C30.S1.XMD4.m1cdec | |||
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.m1gdec | |||
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.m1bdec | |||
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.m1cdec |
Latest revision as of 01:48, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:30.11.E6 |
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}=\begin{cases}\psi_{n}^{(j)}(\gamma z)+\bigO@{z^{-2}e^{|\imagpart@@{z}|}},&j=1,2,\\ \psi_{n}^{(j)}(\gamma z)\left(1+\bigO@{z^{-1}}\right),&j=3,4.\end{cases}}
0 references
DLMF:30.11.E6
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}
C2.S1.E3.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \imagpart@@}
C1.S9.E2.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radsphwaveS{\NVar{m}}{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{\gamma}}}
C30.S11.E3.m2afdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C30.S1.XMD1.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C30.S1.XMD4.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n\geq m}
C30.S1.XMD5.m1gdec
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.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \gamma^{2}}
C30.S2.XMD3.m1cdec
0 references