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:10.23.E14 - MaRDI portal

DLMF:10.23.E14 (Q4165)

From MaRDI portal
No description defined
Language Label Description Also known as
English
DLMF:10.23.E14
No description defined

    Statements

    DLMF defining formula
    z ν ⁢ f ⁢ ( z ) = a 0 ⁢ J ν ⁡ ( z ) + 2 ⁢ ∑ k = 1 ∞ a k ⁢ J ν + k ⁡ ( z ) superscript 𝑧 𝜈 𝑓 𝑧 subscript 𝑎 0 Bessel-J 𝜈 𝑧 2 superscript subscript 𝑘 1 subscript 𝑎 𝑘 Bessel-J 𝜈 𝑘 𝑧 {\displaystyle{\displaystyle z^{\nu}f(z)=a_{0}J_{\nu}\left(z\right)+2\sum_{k=1% }^{\infty}a_{k}J_{\nu+k}\left(z\right)}}
    0 references
    Symbols used
    Bessel function of the first kind
    DLMF defining formula
    J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E2.m2aidec
    0 references
    nonnegative integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C10.S1.XMD3.m1ldec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1gdec
    0 references
    complex parameter
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C10.S1.XMD7.m1edec
    0 references
    10.23.E11
    DLMF defining formula
    a k subscript 𝑎 𝑘 {\displaystyle{\displaystyle a_{k}}}
    xml-id
    C10.S23.XMD2.m1bdec
    0 references
    f ( t )
    DLMF defining formula
    f ⁢ ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}
    xml-id
    C10.S23.XMD3.m1bdec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q4165&oldid=24172825"
    Powered by MediaWiki