DLMF:11.10.E30 (Q4052): 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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(7 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: Anger function / rank | |||
Normal rank | |||
Property / Symbols used: Anger function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AngerJ{\NVar{\nu}}@{\NVar{z}}}\AngerJ{\NVar{\nu}}@{\NVar{z}} | |||
Property / Symbols used: Anger function / qualifier | |||
xml-id: C11.S10.E1.m2apdec | |||
Property / Symbols used | |||
Property / Symbols used: Bessel function of the first kind / rank | |||
Normal rank | |||
Property / Symbols used: Bessel function of the first kind / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselJ{\NVar{\nu}}@{\NVar{z}}}\BesselJ{\NVar{\nu}}@{\NVar{z}} | |||
Property / Symbols used: Bessel function of the first kind / qualifier | |||
xml-id: C10.S2.E2.m2acdec | |||
Property / Symbols used | |||
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank | |||
Normal rank | |||
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}\cpi | |||
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier | |||
xml-id: C3.S12.E1.m2awdec | |||
Property / Symbols used | |||
Property / Symbols used: cosine function / rank | |||
Normal rank | |||
Property / Symbols used: cosine function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}\cos@@{\NVar{z}} | |||
Property / Symbols used: cosine function / qualifier | |||
xml-id: C4.S14.E2.m2aldec | |||
Property / Symbols used | |||
Property / Symbols used: sine function / rank | |||
Normal rank | |||
Property / Symbols used: sine function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}\sin@@{\NVar{z}} | |||
Property / Symbols used: sine function / qualifier | |||
xml-id: C4.S14.E1.m2amdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11491 / rank | |||
Normal rank | |||
Property / Symbols used: Q11491 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
Property / Symbols used: Q11491 / qualifier | |||
xml-id: C11.S1.XMD2.m1aadec | |||
Property / Symbols used | |||
Property / Symbols used: Q11492 / rank | |||
Normal rank | |||
Property / Symbols used: Q11492 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}\nu | |||
Property / Symbols used: Q11492 / qualifier | |||
xml-id: C11.S1.XMD3.m1ydec | |||
Property / Symbols used | |||
Property / Symbols used: Q11497 / rank | |||
Normal rank | |||
Property / Symbols used: Q11497 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}k | |||
Property / Symbols used: Q11497 / qualifier | |||
xml-id: C11.S1.XMD5.m1ddec |
Latest revision as of 14:59, 2 January 2020
No description defined
Language | Label | Description | Also known as |
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English | DLMF:11.10.E30 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\AngerJ{\nu}@{z}=}\\ {2\sin@{\tfrac{1}{2}\nu\pi}\sum_{k=0}^{\infty}(-1)^{k}\BesselJ{k-\frac{1}{2}\nu+\frac{1}{2}}@{\tfrac{1}{2}z}\BesselJ{k+\frac{1}{2}\nu+\frac{1}{2}}@{\tfrac{1}{2}z}}+{2\cos@{\tfrac{1}{2}\nu\pi}\sideset{}{{}^{\prime}}{\sum}_{k=0}^{\infty}(-1)^{k}\BesselJ{k-\frac{1}{2}\nu}@{\tfrac{1}{2}z}\BesselJ{k+\frac{1}{2}\nu}@{\tfrac{1}{2}z}},}
0 references
DLMF:11.10.E30
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AngerJ{\NVar{\nu}}@{\NVar{z}}}
C11.S10.E1.m2apdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselJ{\NVar{\nu}}@{\NVar{z}}}
C10.S2.E2.m2acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2awdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}
C4.S14.E2.m2aldec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}
C4.S14.E1.m2amdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C11.S1.XMD2.m1aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
C11.S1.XMD3.m1ydec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
C11.S1.XMD5.m1ddec
0 references