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:25.2.E4 - MaRDI portal

DLMF:25.2.E4 (Q8292)

From MaRDI portal





No description defined
Language Label Description Also known as
English
DLMF:25.2.E4
No description defined

    Statements

    DLMF defining formula
    ζ ⁡ ( s ) = 1 s - 1 + ∑ n = 0 ∞ ( - 1 ) n n ! ⁢ γ n ⁢ ( s - 1 ) n , Riemann-zeta 𝑠 1 𝑠 1 superscript subscript 𝑛 0 superscript 1 𝑛 𝑛 Stieltjes-constants 𝑛 superscript 𝑠 1 𝑛 {\displaystyle{\displaystyle\zeta\left(s\right)=\frac{1}{s-1}+\sum_{n=0}^{% \infty}\frac{(-1)^{n}}{n!}\gamma_{n}(s-1)^{n},}}
    0 references
    Symbols used
    Riemann zeta function
    DLMF defining formula
    ζ ⁡ ( s ) Riemann-zeta 𝑠 {\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}
    xml-id
    C25.S2.E1.m2acdec
    0 references
    Stieltjes constants
    DLMF defining formula
    γ n Stieltjes-constants 𝑛 {\displaystyle{\displaystyle\gamma_{\NVar{n}}}}
    xml-id
    C25.S2.E5.m2adec
    0 references
    Q10729
    DLMF defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    real part
    DLMF defining formula
    ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}
    xml-id
    C1.S9.E2.m1abdec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C25.S1.XMD3.m1cdec
    0 references
    complex variable
    DLMF defining formula
    s 𝑠 {\displaystyle{\displaystyle s}}
    xml-id
    C25.S1.XMD7.m1cdec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q8292&oldid=24176202"
    Powered by MediaWiki