DLMF:25.4.E1 (Q7608)

From DRMF
Revision as of 13:23, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:25.4.E1
No description defined

    Statements

    Defining formula
    ζ ⁡ ( 1 - s ) = 2 ⁢ ( 2 ⁢ π ) - s ⁢ cos ⁡ ( 1 2 ⁢ π ⁢ s ) ⁢ Γ ⁡ ( s ) ⁢ ζ ⁡ ( s ) , Riemann-zeta 1 𝑠 2 superscript 2 𝜋 𝑠 1 2 𝜋 𝑠 Euler-Gamma 𝑠 Riemann-zeta 𝑠 {\displaystyle{\displaystyle\zeta\left(1-s\right)=2(2\pi)^{-s}\cos\left(\tfrac% {1}{2}\pi s\right)\Gamma\left(s\right)\zeta\left(s\right),}}
    0 references
    DLMF id
    DLMF:25.4.E1
    0 references
    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2adec
    0 references
    Riemann zeta function
    Defining formula
    ζ ⁡ ( s ) Riemann-zeta 𝑠 {\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}
    xml-id
    C25.S2.E1.m2adec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7608&oldid=35992"