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:10.47.E9 - MaRDI portal

DLMF:10.47.E9 (Q4374)

From MaRDI portal





No description defined
Language Label Description Also known as
English
DLMF:10.47.E9
No description defined

    Statements

    DLMF defining formula
    𝗄 n ⁡ ( z ) = 1 2 ⁢ π / z ⁢ K n + 1 2 ⁡ ( z ) = 1 2 ⁢ π / z ⁢ K - n - 1 2 ⁡ ( z ) . spherical-Bessel-K 𝑛 𝑧 1 2 𝜋 𝑧 modified-Bessel-second-kind 𝑛 1 2 𝑧 1 2 𝜋 𝑧 modified-Bessel-second-kind 𝑛 1 2 𝑧 {\displaystyle{\displaystyle\mathsf{k}_{n}\left(z\right)=\sqrt{\tfrac{1}{2}\pi% /z}K_{n+\frac{1}{2}}\left(z\right)=\sqrt{\tfrac{1}{2}\pi/z}K_{-n-\frac{1}{2}}% \left(z\right).}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2afdec
    0 references
    modified Bessel function of the second kind
    DLMF defining formula
    K ν ⁡ ( z ) modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S25.E3.m2adec
    0 references
    integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C10.S1.XMD2.m1hdec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1hdec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q4374&oldid=24173758"
    Powered by MediaWiki