DLMF:31.10.E21 (Q9076): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
(6 intermediate revisions by the same user not shown)
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.m1jdec
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.m1jdec
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.m1jdec
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.m1fdec
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.m1adec
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.m1adec
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.m1adec

Latest revision as of 13:39, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:31.10.E21
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pderiv[2]{\mathcal{K}}{r}+\frac{2(\gamma+\delta+\epsilon)-1}{r}\pderiv{\mathcal{K}}{r}+\frac{1}{r^{2}}\pderiv[2]{\mathcal{K}}{\theta}+\frac{(2(\delta+\epsilon)-1)\cot@@{\theta}-(2\gamma-1)\tan@@{\theta}}{r^{2}}\pderiv{\mathcal{K}}{\theta}+\frac{1}{r^{2}\sin^{2}@@{\theta}}\pderiv[2]{\mathcal{K}}{\phi}+\frac{(2\delta-1)\cot@@{\phi}-(2\epsilon-1)\tan@@{\phi}}{r^{2}\sin^{2}@@{\theta}}\pderiv{\mathcal{K}}{\phi}=0.}
    0 references
    DLMF id
    DLMF:31.10.E21
    0 references
    Symbols used
    cotangent function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cot@@{\NVar{z}}}
    xml-id
    C4.S14.E7.m2aadec
    0 references
    partial derivative of $$f$$ with respect to $$x$$
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pderiv{\NVar{f}}{\NVar{x}}}
    xml-id
    C1.S5.E3.m4afdec
    0 references
    partial differential of $$x$$
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pdiff{\NVar{x}}}
    xml-id
    C1.S5.E3.m2afdec
    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.m2acdec
    0 references
    tangent function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tan@@{\NVar{z}}}
    xml-id
    C4.S14.E4.m2aadec
    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.m1jdec
    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.m1jdec
    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.m1jdec
    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.m1fdec
    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.m1adec
    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.m1adec
    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.m1adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q9076&oldid=38662"