DLMF:25.11.E30 (Q7704): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>Admin
imported>Admin
Property / constraint
 

ℜ ⁡ a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}

\Re a>0
Property / constraint: ℜ ⁡ a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}} / rank
 
Normal rank

Revision as of 17:17, 30 December 2019

No description defined
Language Label Description Also known as
English
DLMF:25.11.E30
No description defined

    Statements

    test
    ζ ⁡ ( s , a ) = Γ ⁡ ( 1 - s ) 2 ⁢ π ⁢ i ⁢ ∫ - ∞ ( 0 + ) e a ⁢ z ⁢ z s - 1 1 - e z ⁢ d z , Hurwitz-zeta 𝑠 𝑎 Euler-Gamma 1 𝑠 2 𝜋 𝑖 superscript subscript limit-from 0 superscript 𝑒 𝑎 𝑧 superscript 𝑧 𝑠 1 1 superscript 𝑒 𝑧 𝑧 {\displaystyle{\displaystyle\zeta\left(s,a\right)=\frac{\Gamma\left(1-s\right)% }{2\pi i}\int_{-\infty}^{(0+)}\frac{e^{az}z^{s-1}}{1-e^{z}}\mathrm{d}z,}}
    0 references
    DLMF id
    DLMF:25.11.E30
    0 references
    constraint
    ℜ ⁡ a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
    0 references
    s ≠ 1 𝑠 1 {\displaystyle{\displaystyle s\neq 1}}
    0 references
    ℜ ⁡ a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q7704&oldid=43398"