DLMF:14.19.E5 (Q4918): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(One intermediate revision by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11602 / rank
 
Normal rank
Property / Symbols used: Q11602 / qualifier
 
Defining formula:

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

n
Property / Symbols used: Q11602 / qualifier
 
xml-id: C14.S1.XMD6.m1adec
Property / Symbols used
 
Property / Symbols used: Q11627 / rank
 
Normal rank
Property / Symbols used: Q11627 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \xi>0}

\xi>0
Property / Symbols used: Q11627 / qualifier
 
xml-id: C14.S19.XMD8.m1adec

Latest revision as of 13:30, 2 January 2020

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DLMF:14.19.E5
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    Statements

    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \assLegendreOlverQ[m]{n-\frac{1}{2}}@{\cosh@@{\xi}}=\frac{\EulerGamma@{n+\frac{1}{2}}}{\EulerGamma@{n+m+\tfrac{1}{2}}\EulerGamma@{n-m+\frac{1}{2}}}\*\int_{0}^{\infty}\frac{\cosh@{mt}}{(\cosh@@{\xi}+\cosh@@{t}\sinh@@{\xi})^{n+(1/2)}}\diff{t},}
    0 references
    DLMF:14.19.E5
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m<n+\tfrac{1}{2}}
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
    C5.S2.E1.m2abdec
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \assLegendreOlverQ[\NVar{\mu}]{\NVar{\nu}}@{\NVar{z}}}
    C14.S21.SS1.p1.m3aadec
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}
    C1.S4.SS4.m1aadec
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{\NVar{z}}}
    C4.S28.E2.m2addec
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@@{\NVar{z}}}
    C4.S28.E1.m2abdec
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}
    C1.S4.SS4.m3aadec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
    C14.S1.XMD5.m1adec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
    C14.S1.XMD6.m1adec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \xi>0}
    C14.S19.XMD8.m1adec
    0 references