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:10.22.E77 - MaRDI portal

DLMF:10.22.E77 (Q4149)

From MaRDI portal





No description defined
Language Label Description Also known as
English
DLMF:10.22.E77
No description defined

    Statements

    DLMF defining formula
    f ⁢ ( y ) = ∫ 0 ∞ g ⁢ ( x ) ⁢ J ν ⁡ ( x ⁢ y ) ⁢ ( x ⁢ y ) 1 2 ⁢ d x . 𝑓 𝑦 superscript subscript 0 𝑔 𝑥 Bessel-J 𝜈 𝑥 𝑦 superscript 𝑥 𝑦 1 2 𝑥 {\displaystyle{\displaystyle f(y)=\int_{0}^{\infty}g(x)J_{\nu}\left(xy\right)(% xy)^{\frac{1}{2}}\mathrm{d}x.}}
    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.m2abidec
    0 references
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1abwdec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3abwdec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C10.S1.XMD4.m1sdec
    0 references
    real variable
    DLMF defining formula
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C10.S1.XMD5.m1adec
    0 references
    complex parameter
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C10.S1.XMD7.m1bbdec
    0 references
    function
    DLMF defining formula
    f ⁢ ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}}
    xml-id
    C10.S22.XMD4.m1adec
    0 references
    function
    DLMF defining formula
    g ⁢ ( y ) 𝑔 𝑦 {\displaystyle{\displaystyle g(y)}}
    xml-id
    C10.S22.XMD5.m1adec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q4149&oldid=24172680"
    Powered by MediaWiki