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:29.18.E6 - MaRDI portal

DLMF:29.18.E6 (Q9499)

From MaRDI portal
No description defined
Language Label Description Also known as
English
DLMF:29.18.E6
No description defined

    Statements

    DLMF defining formula
    d 2 u 2 d β 2 + ( h - ν ⁢ ( ν + 1 ) ⁢ k 2 ⁢ sn 2 ⁡ ( β , k ) ) ⁢ u 2 = 0 , derivative subscript 𝑢 2 𝛽 2 ℎ 𝜈 𝜈 1 superscript 𝑘 2 Jacobi-elliptic-sn 2 𝛽 𝑘 subscript 𝑢 2 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}u_{2}}{{\mathrm{d}\beta}^{2}% }+(h-\nu(\nu+1)k^{2}{\operatorname{sn}^{2}}\left(\beta,k\right))u_{2}=0,}}
    0 references
    Symbols used
    Jacobian elliptic function
    DLMF defining formula
    sn ⁡ ( z , k ) Jacobi-elliptic-sn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}
    xml-id
    C22.S2.E4.m2aadec
    0 references
    derivative of $$f$$ with respect to $$x$$
    DLMF defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2aadec
    0 references
    real parameter
    DLMF defining formula
    h ℎ {\displaystyle{\displaystyle h}}
    xml-id
    C29.S1.XMD7.m1dec
    0 references
    real parameter
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C29.S1.XMD8.m1bdec
    0 references
    real parameter
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C29.S1.XMD9.m1adec
    0 references
    sphero-conal coordinate
    DLMF defining formula
    β 𝛽 {\displaystyle{\displaystyle\beta}}
    xml-id
    C29.S18.XMD4.m1cdec
    0 references
    solutions
    DLMF defining formula
    u j subscript 𝑢 𝑗 {\displaystyle{\displaystyle u_{j}}}
    xml-id
    C29.S18.XMD6.m1bdec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q9499&oldid=24177293"
    Powered by MediaWiki