DLMF:10.68.E9 (Q3875): 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: modulus of Bessel functions / rank | |||
Normal rank | |||
| Property / Symbols used: modulus of Bessel functions / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HankelmodM{\NVar{\nu}}@{\NVar{x}}}\HankelmodM{\NVar{\nu}}@{\NVar{x}} | |||
| Property / Symbols used: modulus of Bessel functions / qualifier | |||
xml-id: C10.S18.E1.m2aedec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11444 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11444 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Hankelphasetheta{\NVar{\nu}}@{\NVar{x}}}\Hankelphasetheta{\NVar{\nu}}@{\NVar{x}} | |||
| Property / Symbols used: Q11444 / qualifier | |||
xml-id: C10.S18.E3.m1aedec | |||
| 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.m2abdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11435 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11435 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}x | |||
| Property / Symbols used: Q11435 / qualifier | |||
xml-id: C10.S1.XMD4.m1hdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11427 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11427 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}\nu | |||
| Property / Symbols used: Q11427 / qualifier | |||
xml-id: C10.S1.XMD7.m1gdec | |||
Latest revision as of 14:29, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:10.68.E9 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Kelvinbei{\nu}'@@{x}=\tfrac{1}{2}\HankelmodM{\nu+1}\sin@{\Hankelphasetheta{\nu+1}-\tfrac{1}{4}\pi}-\tfrac{1}{2}\HankelmodM{\nu-1}\sin@{\Hankelphasetheta{\nu-1}-\tfrac{1}{4}\pi}=(\nu/x)\HankelmodM{\nu}\sin@@{\Hankelphasetheta{\nu}}+\HankelmodM{\nu+1}\sin@{\Hankelphasetheta{\nu+1}-\tfrac{1}{4}\pi}=-(\nu/x)\HankelmodM{\nu}\sin@@{\Hankelphasetheta{\nu}}-\HankelmodM{\nu-1}\sin@{\Hankelphasetheta{\nu-1}-\tfrac{1}{4}\pi}.}
0 references
DLMF:10.68.E9
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Kelvinbei{\NVar{\nu}}@{\NVar{x}}}
C10.S61.E1.m3addec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2abdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HankelmodM{\NVar{\nu}}@{\NVar{x}}}
C10.S18.E1.m2aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Hankelphasetheta{\NVar{\nu}}@{\NVar{x}}}
C10.S18.E3.m1aedec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}
C4.S14.E1.m2abdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
C10.S1.XMD4.m1hdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
C10.S1.XMD7.m1gdec
0 references