DLMF:31.10.E22 (Q9077): Difference between revisions

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‎Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: sine function / rank
 
Normal rank
Property / Symbols used: sine function / qualifier
 
Defining formula:

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

\sin@@{\NVar{z}}
Property / Symbols used: sine function / qualifier
 
xml-id: C4.S14.E1.m2addec
Property / Symbols used
 
Property / Symbols used: Q12458 / rank
 
Normal rank
Property / Symbols used: Q12458 / qualifier
 
Defining formula:

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

\gamma
Property / Symbols used: Q12458 / qualifier
 
xml-id: C31.S1.XMD10.m1kdec
Property / Symbols used
 
Property / Symbols used: Q12459 / rank
 
Normal rank
Property / Symbols used: Q12459 / qualifier
 
Defining formula:

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

\delta
Property / Symbols used: Q12459 / qualifier
 
xml-id: C31.S1.XMD11.m1kdec
Property / Symbols used
 
Property / Symbols used: Q12460 / rank
 
Normal rank
Property / Symbols used: Q12460 / qualifier
 
Defining formula:

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

\epsilon
Property / Symbols used: Q12460 / qualifier
 
xml-id: C31.S1.XMD12.m1kdec
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.m1dec
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.m1hdec
Property / Symbols used
 
Property / Symbols used: kernel (locally) / rank
 
Normal rank
Property / Symbols used: kernel (locally) / qualifier
 
Defining formula:

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

\mathcal{K}(z;s,t)
Property / Symbols used: kernel (locally) / qualifier
 
xml-id: C31.S10.XMD13.m1gdec
Property / Symbols used
 
Property / Symbols used: Q12503 / rank
 
Normal rank
Property / Symbols used: Q12503 / qualifier
 
Defining formula:

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

r
Property / Symbols used: Q12503 / qualifier
 
xml-id: C31.S10.XMD18.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12504 / rank
 
Normal rank
Property / Symbols used: Q12504 / qualifier
 
Defining formula:

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

\theta
Property / Symbols used: Q12504 / qualifier
 
xml-id: C31.S10.XMD19.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12505 / rank
 
Normal rank
Property / Symbols used: Q12505 / qualifier
 
Defining formula:

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

\phi
Property / Symbols used: Q12505 / qualifier
 
xml-id: C31.S10.XMD20.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12506 / rank
 
Normal rank
Property / Symbols used: Q12506 / qualifier
 
Defining formula:

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

b
Property / Symbols used: Q12506 / qualifier
 
xml-id: C31.S10.XMD21.m1dec
Property / Symbols used
 
Property / Symbols used: Q12507 / rank
 
Normal rank
Property / Symbols used: Q12507 / qualifier
 
Defining formula:

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

c
Property / Symbols used: Q12507 / qualifier
 
xml-id: C31.S10.XMD22.m1dec

Latest revision as of 13:39, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:31.10.E22
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathcal{K}(r,\theta,\phi)=r^{m}\sin^{2p}@@{\theta}\RiemannsymP@{\begin{Bmatrix}0&1&\infty&\\ 0&0&a&\cos^{2}@@{\theta}\\ \tfrac{1}{2}(3-\gamma)&c&b&\end{Bmatrix}}\*\RiemannsymP@{\begin{Bmatrix}0&1&\infty&\\ 0&0&a^{\prime}&\cos^{2}@@{\phi}\\ 1-\epsilon&1-\delta&b^{\prime}&\end{Bmatrix}},}
    0 references
    DLMF id
    DLMF:31.10.E22
    0 references
    Symbols used
    Riemann’s $$P$$ -symbol for solutions of the generalized hypergeometric differential equation
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \RiemannsymP@{\NVar{\begin{Bmatrix}\alpha&\beta&\gamma&\\ a_{1}&b_{1}&c_{1}&z\\ a_{2}&b_{2}&c_{2}&\end{Bmatrix}}}}
    xml-id
    C15.S11.E3.m2abdec
    0 references
    cosine function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}
    xml-id
    C4.S14.E2.m2acdec
    0 references
    sine function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}
    xml-id
    C4.S14.E1.m2addec
    0 references
    Q12458
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \gamma}
    xml-id
    C31.S1.XMD10.m1kdec
    0 references
    Q12459
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \delta}
    xml-id
    C31.S1.XMD11.m1kdec
    0 references
    Q12460
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \epsilon}
    xml-id
    C31.S1.XMD12.m1kdec
    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.m1dec
    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.m1hdec
    0 references
    kernel (locally)
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathcal{K}(z;s,t)}
    xml-id
    C31.S10.XMD13.m1gdec
    0 references
    Q12503
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle r}
    xml-id
    C31.S10.XMD18.m1bdec
    0 references
    Q12504
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \theta}
    xml-id
    C31.S10.XMD19.m1bdec
    0 references
    Q12505
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi}
    xml-id
    C31.S10.XMD20.m1bdec
    0 references
    Q12506
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b}
    xml-id
    C31.S10.XMD21.m1dec
    0 references
    Q12507
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c}
    xml-id
    C31.S10.XMD22.m1dec
    0 references
     
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