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:26.10.E17 - MaRDI portal

DLMF:26.10.E17 (Q8593)

From MaRDI portal





No description defined
Language Label Description Also known as
English
DLMF:26.10.E17
No description defined

    Statements

    DLMF defining formula
    p ⁡ ( 𝒟 , n ) = π ⁢ ∑ k = 1 ∞ A 2 ⁢ k - 1 ⁢ ( n ) ( 2 ⁢ k - 1 ) ⁢ 24 ⁢ n + 1 ⁢ I 1 ⁡ ( π 2 ⁢ k - 1 ⁢ 24 ⁢ n + 1 72 ) , restricted-partitions-P 𝒟 𝑛 superscript subscript 𝑘 1 subscript 𝐴 2 𝑘 1 𝑛 2 𝑘 1 24 𝑛 1 modified-Bessel-first-kind 1 2 𝑘 1 24 𝑛 1 72 {\displaystyle{\displaystyle p\left(\mathcal{D},n\right)=\pi\sum_{k=1}^{\infty% }\frac{A_{2k-1}(n)}{(2k-1)\sqrt{24n+1}}I_{1}\left(\frac{\pi}{2k-1}\sqrt{\frac{% 24n+1}{72}}\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.m2aadec
    0 references
    modified Bessel function of the first kind
    DLMF defining formula
    I ν ⁡ ( z ) modified-Bessel-first-kind 𝜈 𝑧 {\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S25.E2.m2adec
    0 references
    Q12194
    DLMF defining formula
    p ⁡ ( condition , n ) restricted-partitions-P condition 𝑛 {\displaystyle{\displaystyle p\left(\NVar{\mathrm{condition}},\NVar{n}\right)}}
    xml-id
    C26.S10.SS1.m4aodec
    0 references
    nonnegative integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C26.S1.XMD4.m1gdec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1pdec
    0 references
    coefficient
    DLMF defining formula
    A k ⁢ ( n ) subscript 𝐴 𝑘 𝑛 {\displaystyle{\displaystyle A_{k}(n)}}
    xml-id
    C26.S10.XMD4.m1dec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q8593&oldid=24175855"
    Powered by MediaWiki