DLMF:10.27.E10 (Q3500): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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| (7 intermediate revisions by the same user not shown) | |||
| Property / Symbols used | |||
| Property / Symbols used: Bessel function of the second kind / rank | |||
Normal rank | |||
| Property / Symbols used: Bessel function of the second kind / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselY{\NVar{\nu}}@{\NVar{z}}}\BesselY{\NVar{\nu}}@{\NVar{z}} | |||
| Property / Symbols used: Bessel function of the second kind / qualifier | |||
xml-id: C10.S2.E3.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.m2afdec | |||
| 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.m2addec | |||
| 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.m2addec | |||
| Property / Symbols used | |||
| Property / Symbols used: modified Bessel function of the second kind / rank | |||
Normal rank | |||
| Property / Symbols used: modified Bessel function of the second kind / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modBesselK{\NVar{\nu}}@{\NVar{z}}}\modBesselK{\NVar{\nu}}@{\NVar{z}} | |||
| Property / Symbols used: modified Bessel function of the second kind / qualifier | |||
xml-id: C10.S25.E3.m2afdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q10817 / rank | |||
Normal rank | |||
| Property / Symbols used: Q10817 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase}\phase | |||
| Property / Symbols used: Q10817 / qualifier | |||
xml-id: C1.S9.E7.m1addec | |||
| 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.m1idec | |||
| 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.m1hdec | |||
Latest revision as of 13:37, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:10.27.E10 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\pi\BesselY{\nu}@{z}=e^{-\nu\pi i/2}\modBesselK{\nu}@{ze^{-\pi i/2}}+e^{\nu\pi i/2}\modBesselK{\nu}@{ze^{\pi i/2}},}
0 references
DLMF:10.27.E10
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase@@{z}|\leq\tfrac{1}{2}\pi}
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselY{\NVar{\nu}}@{\NVar{z}}}
C10.S2.E3.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2afdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2addec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2addec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modBesselK{\NVar{\nu}}@{\NVar{z}}}
C10.S25.E3.m2afdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase}
C1.S9.E7.m1addec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C10.S1.XMD6.m1idec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
C10.S1.XMD7.m1hdec
0 references