DLMF:31.8.E2 (Q9037): 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: 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.m2adec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

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

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3adec
Property / Symbols used
 
Property / Symbols used: Q12457 / rank
 
Normal rank
Property / Symbols used: Q12457 / qualifier
 
Defining formula:

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

z
Property / Symbols used: Q12457 / qualifier
 
xml-id: C31.S1.XMD1.m1dec
Property / Symbols used
 
Property / Symbols used: Q12485 / rank
 
Normal rank
Property / Symbols used: Q12485 / qualifier
 
Defining formula:

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

\nu
Property / Symbols used: Q12485 / qualifier
 
xml-id: C31.S1.XMD13.m1dec
Property / Symbols used
 
Property / Symbols used: Q12483 / rank
 
Normal rank
Property / Symbols used: Q12483 / qualifier
 
Defining formula:

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

m
Property / Symbols used: Q12483 / qualifier
 
xml-id: C31.S1.XMD4.m1adec
Property / Symbols used
 
Property / Symbols used: Q12461 / rank
 
Normal rank
Property / Symbols used: Q12461 / qualifier
 
Defining formula:

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

a
Property / Symbols used: Q12461 / qualifier
 
xml-id: C31.S1.XMD6.m1dec
Property / Symbols used
 
Property / Symbols used: Q12487 / rank
 
Normal rank
Property / Symbols used: Q12487 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lambda=-4q}

\lambda=-4q
Property / Symbols used: Q12487 / qualifier
 
xml-id: C31.S8.XMD1.m1dec
Property / Symbols used
 
Property / Symbols used: Q12488 / rank
 
Normal rank
Property / Symbols used: Q12488 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Psi_{g,N}(\lambda,z)}

\Psi_{g,N}(\lambda,z)
Property / Symbols used: Q12488 / qualifier
 
xml-id: C31.S8.XMD2.m1dec
Property / Symbols used
 
Property / Symbols used: Q12489 / rank
 
Normal rank
Property / Symbols used: Q12489 / qualifier
 
Defining formula:

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

g
Property / Symbols used: Q12489 / qualifier
 
xml-id: C31.S8.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q12490 / rank
 
Normal rank
Property / Symbols used: Q12490 / qualifier
 
Defining formula:

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

N
Property / Symbols used: Q12490 / qualifier
 
xml-id: C31.S8.XMD4.m1dec

Latest revision as of 13:33, 2 January 2020

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DLMF:31.8.E2
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w_{\pm}(\mathbf{m};\lambda;z)=\sqrt{\Psi_{g,N}(\lambda,z)}\*\exp@{\pm\frac{i\nu(\lambda)}{2}\int_{z_{0}}^{z}\frac{t^{m_{1}}(t-1)^{m_{2}}(t-a)^{m_{3}}\diff{t}}{\Psi_{g,N}(\lambda,t)\sqrt{t(t-1)(t-a)}}}}
    0 references
    DLMF id
    DLMF:31.8.E2
    0 references
    Symbols used
    Q10770
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    exponential function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \exp@@{\NVar{z}}}
    xml-id
    C4.S2.E19.m2adec
    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
    Q10771
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}
    xml-id
    C1.S4.SS4.m3adec
    0 references
    Q12457
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    xml-id
    C31.S1.XMD1.m1dec
    0 references
    Q12485
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
    xml-id
    C31.S1.XMD13.m1dec
    0 references
    Q12483
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
    xml-id
    C31.S1.XMD4.m1adec
    0 references
    Q12461
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
    xml-id
    C31.S1.XMD6.m1dec
    0 references
    Q12487
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lambda=-4q}
    xml-id
    C31.S8.XMD1.m1dec
    0 references
    Q12488
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Psi_{g,N}(\lambda,z)}
    xml-id
    C31.S8.XMD2.m1dec
    0 references
    Q12489
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle g}
    xml-id
    C31.S8.XMD3.m1dec
    0 references
    Q12490
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle N}
    xml-id
    C31.S8.XMD4.m1dec
    0 references
     
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