DLMF:10.52.E2 (Q3748): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: spherical Bessel function of the third kind / rank
 
Normal rank
Property / Symbols used: spherical Bessel function of the third kind / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sphHankelh{1}{\NVar{n}}@{\NVar{z}}}

\sphHankelh{1}{\NVar{n}}@{\NVar{z}}
Property / Symbols used: spherical Bessel function of the third kind / qualifier
 
xml-id: C10.S47.E5.m2adec
Property / Symbols used
 
Property / Symbols used: spherical Bessel function of the third kind / rank
 
Normal rank
Property / Symbols used: spherical Bessel function of the third kind / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sphHankelh{2}{\NVar{n}}@{\NVar{z}}}

\sphHankelh{2}{\NVar{n}}@{\NVar{z}}
Property / Symbols used: spherical Bessel function of the third kind / qualifier
 
xml-id: C10.S47.E6.m2adec
Property / Symbols used
 
Property / Symbols used: Q11429 / rank
 
Normal rank
Property / Symbols used: Q11429 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}

n
Property / Symbols used: Q11429 / qualifier
 
xml-id: C10.S1.XMD2.m1adec
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.m1adec

Latest revision as of 14:13, 2 January 2020

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DLMF:10.52.E2
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    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\sphBesselY{n}@{z},i\sphHankelh{1}{n}@{z},-i\sphHankelh{2}{n}@{z},(-1)^{n}\modsphBesseli{2}{n}@{z},(2/\pi)\modsphBesselK{n}@{z}\asympeq(2n-1)!!/z^{n+1}.}
    0 references
    DLMF id
    DLMF:10.52.E2
    0 references
    Symbols used
    asymptotic equality
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympeq}
    xml-id
    C2.S1.E1.m2aadec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    xml-id
    C3.S12.E1.m2adec
    0 references
    Q11277
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !!}
    xml-id
    introduction.Sx4.p1.t1.r16.m7aadec
    0 references
    imaginary unit
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
    xml-id
    C1.S9.E1.m2adec
    0 references
    modified spherical Bessel function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modsphBesseli{2}{\NVar{n}}@{\NVar{z}}}
    xml-id
    C10.S47.E8.m2adec
    0 references
    modified spherical Bessel function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modsphBesselK{\NVar{n}}@{\NVar{z}}}
    xml-id
    C10.S47.E9.m2adec
    0 references
    spherical Bessel function of the second kind
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sphBesselY{\NVar{n}}@{\NVar{z}}}
    xml-id
    C10.S47.E4.m2adec
    0 references
    spherical Bessel function of the third kind
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sphHankelh{1}{\NVar{n}}@{\NVar{z}}}
    xml-id
    C10.S47.E5.m2adec
    0 references
    spherical Bessel function of the third kind
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sphHankelh{2}{\NVar{n}}@{\NVar{z}}}
    xml-id
    C10.S47.E6.m2adec
    0 references
    Q11429
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
    xml-id
    C10.S1.XMD2.m1adec
    0 references
    Q11426
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    xml-id
    C10.S1.XMD6.m1adec
    0 references
     
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