DLMF:25.2.E4 (Q7599)

From DRMF
Revision as of 13:21, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:25.2.E4
No description defined

    Statements

    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
    DLMF id
    DLMF:25.2.E4
    0 references
    Symbols used
    Riemann zeta function
    Defining formula
    ζ ⁡ ( s ) Riemann-zeta 𝑠 {\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}
    xml-id
    C25.S2.E1.m2acdec
    0 references
    Stieltjes constants
    Defining formula
    γ n Stieltjes-constants 𝑛 {\displaystyle{\displaystyle\gamma_{\NVar{n}}}}
    xml-id
    C25.S2.E5.m2adec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    Q10811
    Defining formula
    ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}
    xml-id
    C1.S9.E2.m1abdec
    0 references
    Q12148
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C25.S1.XMD3.m1cdec
    0 references
    Q12149
    Defining formula
    s 𝑠 {\displaystyle{\displaystyle s}}
    xml-id
    C25.S1.XMD7.m1cdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7599&oldid=35715"