Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
DLMF:28.32.E3 - MaRDI portal

DLMF:28.32.E3 (Q9244)

From MaRDI portal
No description defined
Language Label Description Also known as
English
DLMF:28.32.E3
No description defined

    Statements

    DLMF defining formula
    ∂ 2 ⁡ V ∂ ⁡ ξ 2 + ∂ 2 ⁡ V ∂ ⁡ η 2 + 1 2 ⁢ c 2 ⁢ k 2 ⁢ ( cosh ⁡ ( 2 ⁢ ξ ) - cos ⁡ ( 2 ⁢ η ) ) ⁢ V = 0 . partial-derivative 𝑉 𝜉 2 partial-derivative 𝑉 𝜂 2 1 2 superscript 𝑐 2 superscript 𝑘 2 2 𝜉 2 𝜂 𝑉 0 {\displaystyle{\displaystyle\frac{{\partial}^{2}V}{{\partial\xi}^{2}}+\frac{{% \partial}^{2}V}{{\partial\eta}^{2}}+\frac{1}{2}c^{2}k^{2}(\cosh\left(2\xi% \right)-\cos\left(2\eta\right))V=0.}}
    0 references
    Symbols used
    cosine function
    DLMF defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aadec
    0 references
    hyperbolic cosine function
    DLMF defining formula
    cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    xml-id
    C4.S28.E2.m2aadec
    0 references
    partial derivative of $$f$$ with respect to $$x$$
    DLMF defining formula
    ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    xml-id
    C1.S5.E3.m4aadec
    0 references
    partial differential of $$x$$
    DLMF defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2aadec
    0 references
    variable
    DLMF defining formula
    η 𝜂 {\displaystyle{\displaystyle\eta}}
    xml-id
    C28.S32.XMD1.m1adec
    0 references
    variable
    DLMF defining formula
    ξ 𝜉 {\displaystyle{\displaystyle\xi}}
    xml-id
    C28.S32.XMD2.m1adec
    0 references
    parameter
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C28.S32.XMD3.m1adec
    0 references
    solution
    DLMF defining formula
    V ⁢ ( ξ , η ) 𝑉 𝜉 𝜂 {\displaystyle{\displaystyle V(\xi,\eta)}}
    xml-id
    C28.S32.XMD4.m1adec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q9244&oldid=24177957"
    Powered by MediaWiki