DLMF:10.16.E7 (Q3166): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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| (6 intermediate revisions by the same user not shown) | |||
| Property / Symbols used | |||
| Property / Symbols used: gamma function / rank | |||
Normal rank | |||
| Property / Symbols used: gamma function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}\EulerGamma@{\NVar{z}} | |||
| Property / Symbols used: gamma function / qualifier | |||
xml-id: C5.S2.E1.m2aadec | |||
| Property / Symbols used | |||
| Property / Symbols used: Whittaker confluent hypergeometric function / rank | |||
Normal rank | |||
| Property / Symbols used: Whittaker confluent hypergeometric function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperM{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}}\WhittakerconfhyperM{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}} | |||
| Property / Symbols used: Whittaker confluent hypergeometric function / qualifier | |||
xml-id: C13.S14.E2.m2adec | |||
| 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.m2aedec | |||
| 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.m2acdec | |||
| Property / Symbols used | |||
| Property / Symbols used: imaginary unit / rank | |||
Normal rank | |||
| Property / Symbols used: imaginary unit / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}\iunit | |||
| Property / Symbols used: imaginary unit / qualifier | |||
xml-id: C1.S9.E1.m2acdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11426 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11426 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
| Property / Symbols used: Q11426 / qualifier | |||
xml-id: C10.S1.XMD6.m1fdec | |||
| 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.m1bdec | |||
Latest revision as of 14:27, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:10.16.E7 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselJ{\nu}@{z}=\frac{e^{\mp(2\nu+1)\pi i/4}}{2^{2\nu}\EulerGamma@{\nu+1}}(2z)^{-\frac{1}{2}}\WhittakerconfhyperM{0}{\nu}@{\pm 2iz},}
0 references
DLMF:10.16.E7
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\nu\neq-1,-2,-3,\dotsc}
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.m2addec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperM{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}}
C13.S14.E2.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C10.S1.XMD6.m1fdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
C10.S1.XMD7.m1bdec
0 references