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:10.60.E11 - MaRDI portal

DLMF:10.60.E11 (Q4483)

From MaRDI portal
No description defined
Language Label Description Also known as
English
DLMF:10.60.E11
No description defined

    Statements

    DLMF defining formula
    ∑ n = 0 ∞ 𝗃 n 2 ⁡ ( z ) = Si ⁡ ( 2 ⁢ z ) 2 ⁢ z . superscript subscript 𝑛 0 spherical-Bessel-J 𝑛 2 𝑧 sine-integral 2 𝑧 2 𝑧 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}{\mathsf{j}_{n}^{2}}\left(z% \right)=\frac{\mathrm{Si}\left(2z\right)}{2z}.}}
    0 references
    Symbols used
    sine integral
    DLMF defining formula
    Si ⁡ ( z ) sine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E9.m2adec
    0 references
    spherical Bessel function of the first kind
    DLMF defining formula
    𝗃 n ⁡ ( z ) spherical-Bessel-J 𝑛 𝑧 {\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}
    xml-id
    C10.S47.E3.m2afdec
    0 references
    integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C10.S1.XMD2.m1jdec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1gdec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q4483&oldid=24171965"
    Powered by MediaWiki