DLMF:10.17.E13 (Q3182): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(9 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: Bessel function of the third kind (or Hankel function) / rank | |||
Normal rank | |||
Property / Symbols used: Bessel function of the third kind (or Hankel function) / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HankelH{2}{\NVar{\nu}}@{\NVar{z}}}\HankelH{2}{\NVar{\nu}}@{\NVar{z}} | |||
Property / Symbols used: Bessel function of the third kind (or Hankel function) / qualifier | |||
xml-id: C10.S2.E6.m2abdec | |||
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.m2aidec | |||
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.m2aedec | |||
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.m1jdec | |||
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.m1jdec | |||
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.m1kdec | |||
Property / Symbols used | |||
Property / Symbols used: expansion (locally) / rank | |||
Normal rank | |||
Property / Symbols used: expansion (locally) / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a_{k}(\nu)}a_{k}(\nu) | |||
Property / Symbols used: expansion (locally) / qualifier | |||
xml-id: C10.S17.XMD1.m1edec | |||
Property / Symbols used | |||
Property / Symbols used: DLMF:10.17.E2 / rank | |||
Normal rank | |||
Property / Symbols used: DLMF:10.17.E2 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \omega}\omega | |||
Property / Symbols used: DLMF:10.17.E2 / qualifier | |||
xml-id: C10.S17.XMD2.m1idec | |||
Property / Symbols used | |||
Property / Symbols used: remainder (locally) / rank | |||
Normal rank | |||
Property / Symbols used: remainder (locally) / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle R_{\ell}^{\pm}(\nu,z)}R_{\ell}^{\pm}(\nu,z) | |||
Property / Symbols used: remainder (locally) / qualifier | |||
xml-id: C10.S17.XMD4.m1dec |
Latest revision as of 15:32, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:10.17.E13 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \rselection{\HankelH{1}{\nu}@{z}\\ \HankelH{2}{\nu}@{z}}=\left(\frac{2}{\pi z}\right)^{\frac{1}{2}}e^{\pm i\omega}\left(\sum_{k=0}^{\ell-1}(\pm i)^{k}\frac{a_{k}(\nu)}{z^{k}}+R_{\ell}^{\pm}(\nu,z)\right),}
0 references
DLMF:10.17.E13
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ell=1,2,\dotsc}
0 references
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.m2abdec
0 references
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.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2aidec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2addec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
C10.S1.XMD3.m1jdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C10.S1.XMD6.m1jdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
C10.S1.XMD7.m1kdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a_{k}(\nu)}
C10.S17.XMD1.m1edec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \omega}
C10.S17.XMD2.m1idec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle R_{\ell}^{\pm}(\nu,z)}
C10.S17.XMD4.m1dec
0 references