DLMF:10.5.E1 (Q3024): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>Admin
imported>Admin
Property / Symbols used
 
Property / Symbols used: Q10865 / rank
 
Normal rank
Property / Symbols used: Q10865 / qualifier
 
test:

𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}

\Wronskian
Property / Symbols used: Q10865 / qualifier
 
xml-id: C1.S13.Px2.p1.m3adec

Revision as of 15:06, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:10.5.E1
No description defined

    Statements

    test
    𝒲 ⁡ { J ν ⁡ ( z ) , J - ν ⁡ ( z ) } = J ν + 1 ⁡ ( z ) ⁢ J - ν ⁡ ( z ) + J ν ⁡ ( z ) ⁢ J - ν - 1 ⁡ ( z ) = - 2 ⁢ sin ⁡ ( ν ⁢ π ) / ( π ⁢ z ) , Wronskian Bessel-J 𝜈 𝑧 Bessel-J 𝜈 𝑧 Bessel-J 𝜈 1 𝑧 Bessel-J 𝜈 𝑧 Bessel-J 𝜈 𝑧 Bessel-J 𝜈 1 𝑧 2 𝜈 𝜋 𝜋 𝑧 {\displaystyle{\displaystyle\mathscr{W}\left\{J_{\nu}\left(z\right),J_{-\nu}% \left(z\right)\right\}=J_{\nu+1}\left(z\right)J_{-\nu}\left(z\right)+J_{\nu}% \left(z\right)J_{-\nu-1}\left(z\right)=-2\sin\left(\nu\pi\right)/(\pi z),}}
    0 references
    DLMF id
    DLMF:10.5.E1
    0 references
    Symbols used
    Bessel function of the first kind
    test
    J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E2.m2adec
    0 references
    Q10865
    test
    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    xml-id
    C1.S13.Px2.p1.m3adec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q3024&oldid=15833"