DLMF:10.20.E6 (Q3255): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(5 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: Q11428 / rank | |||
Normal rank | |||
Property / Symbols used: Q11428 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}k | |||
Property / Symbols used: Q11428 / qualifier | |||
xml-id: C10.S1.XMD3.m1bdec | |||
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.m1edec | |||
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 | |||
Property / Symbols used | |||
Property / Symbols used: Q11451 / rank | |||
Normal rank | |||
Property / Symbols used: Q11451 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \zeta(z)}\zeta(z) | |||
Property / Symbols used: Q11451 / qualifier | |||
xml-id: C10.S20.XMD1.m1edec | |||
Property / Symbols used | |||
Property / Symbols used: coefficients (locally) / rank | |||
Normal rank | |||
Property / Symbols used: coefficients (locally) / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{k}(\zeta)}A_{k}(\zeta) | |||
Property / Symbols used: coefficients (locally) / qualifier | |||
xml-id: C10.S20.XMD4.m1bdec | |||
Property / Symbols used | |||
Property / Symbols used: coefficients (locally) / rank | |||
Normal rank | |||
Property / Symbols used: coefficients (locally) / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{k}(\zeta)}B_{k}(\zeta) | |||
Property / Symbols used: coefficients (locally) / qualifier | |||
xml-id: C10.S20.XMD5.m1bdec |
Latest revision as of 15:38, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:10.20.E6 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \rselection{\HankelH{1}{\nu}@{\nu z}\\ \HankelH{2}{\nu}@{\nu z}}\asympexp 2e^{\mp\pi i/3}\left(\frac{4\zeta}{1-z^{2}}\right)^{\frac{1}{4}}\left(\frac{\AiryAi@{e^{\pm 2\pi i/3}\nu^{\frac{2}{3}}\zeta}}{\nu^{\frac{1}{3}}}\sum_{k=0}^{\infty}\frac{A_{k}(\zeta)}{\nu^{2k}}+\frac{e^{\pm 2\pi i/3}\AiryAi'@{e^{\pm 2\pi i/3}\nu^{\frac{2}{3}}\zeta}}{\nu^{\frac{5}{3}}}\sum_{k=0}^{\infty}\frac{B_{k}(\zeta)}{\nu^{2k}}\right),}
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DLMF:10.20.E6
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AiryAi@{\NVar{z}}}
C9.S2.SS1.m1aadec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HankelH{1}{\NVar{\nu}}@{\NVar{z}}}
C10.S2.E5.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HankelH{2}{\NVar{\nu}}@{\NVar{z}}}
C10.S2.E6.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympexp}
C2.S1.SS3.p1.m11abdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
C10.S1.XMD3.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C10.S1.XMD6.m1edec
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
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \zeta(z)}
C10.S20.XMD1.m1edec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{k}(\zeta)}
C10.S20.XMD4.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{k}(\zeta)}
C10.S20.XMD5.m1bdec
0 references