DLMF:2.8.E30 (Q965): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: order not exceeding / rank
 
Normal rank
Property / Symbols used: order not exceeding / qualifier
 
Defining formula:

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

\bigO@{\NVar{x}}
Property / Symbols used: order not exceeding / qualifier
 
xml-id: C2.S1.E3.m2aidec
Property / Symbols used
 
Property / Symbols used: Q11085 / rank
 
Normal rank
Property / Symbols used: Q11085 / qualifier
 
Defining formula:

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

W_{n,j}(u,\xi)
Property / Symbols used: Q11085 / qualifier
 
xml-id: C2.S8.XMD20.m1ddec
Property / Symbols used
 
Property / Symbols used: Q11086 / rank
 
Normal rank
Property / Symbols used: Q11086 / qualifier
 
Defining formula:

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

\nu
Property / Symbols used: Q11086 / qualifier
 
xml-id: C2.S8.XMD21.m1fdec
Property / Symbols used
 
Property / Symbols used: Q11087 / rank
 
Normal rank
Property / Symbols used: Q11087 / qualifier
 
Defining formula:

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

n
Property / Symbols used: Q11087 / qualifier
 
xml-id: C2.S8.XMD22.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11088 / rank
 
Normal rank
Property / Symbols used: Q11088 / qualifier
 
Defining formula:

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

A_{s}(\xi)
Property / Symbols used: Q11088 / qualifier
 
xml-id: C2.S8.XMD23.m1edec
Property / Symbols used
 
Property / Symbols used: Q11089 / rank
 
Normal rank
Property / Symbols used: Q11089 / qualifier
 
Defining formula:

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

B_{s}(\xi)
Property / Symbols used: Q11089 / qualifier
 
xml-id: C2.S8.XMD24.m1edec
Property / Symbols used
 
Property / Symbols used: Q11069 / rank
 
Normal rank
Property / Symbols used: Q11069 / qualifier
 
Defining formula:

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

u
Property / Symbols used: Q11069 / qualifier
 
xml-id: C2.S8.XMD4.m1pdec

Latest revision as of 16:29, 1 January 2020

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DLMF:2.8.E30
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    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle W_{n,4}(u,\xi)=|\xi|^{1/2}\BesselY{\nu}@{u|\xi|^{1/2}}\left(\sum_{s=0}^{n-1}\frac{A_{s}(\xi)}{u^{2s}}+\bigO@{\frac{1}{u^{2n-1}}}\right)-|\xi|\BesselY{\nu+1}@{u|\xi|^{1/2}}\left(\sum_{s=0}^{n-2}\frac{B_{s}(\xi)}{u^{2s+1}}+\bigO@{\frac{1}{u^{2n-2}}}\right).}
    0 references
    DLMF id
    DLMF:2.8.E30
    0 references
    Symbols used
    Bessel function of the second kind
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselY{\NVar{\nu}}@{\NVar{z}}}
    xml-id
    C10.S2.E3.m2adec
    0 references
    order not exceeding
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}
    xml-id
    C2.S1.E3.m2aidec
    0 references
    Q11085
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle W_{n,j}(u,\xi)}
    xml-id
    C2.S8.XMD20.m1ddec
    0 references
    Q11086
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
    xml-id
    C2.S8.XMD21.m1fdec
    0 references
    Q11087
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
    xml-id
    C2.S8.XMD22.m1cdec
    0 references
    Q11088
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{s}(\xi)}
    xml-id
    C2.S8.XMD23.m1edec
    0 references
    Q11089
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{s}(\xi)}
    xml-id
    C2.S8.XMD24.m1edec
    0 references
    Q11069
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle u}
    xml-id
    C2.S8.XMD4.m1pdec
    0 references
     
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