DLMF:25.8.E2 (Q7659): Difference between revisions

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Property / constraint
 

s 1 , 0 , - 1 , - 2 , 𝑠 1 0 1 2 {\displaystyle{\displaystyle s\neq 1,0,-1,-2,\dots}}

s\neq 1,0,-1,-2,\dots
Property / constraint: s 1 , 0 , - 1 , - 2 , 𝑠 1 0 1 2 {\displaystyle{\displaystyle s\neq 1,0,-1,-2,\dots}} / rank
 
Normal rank

Revision as of 17:15, 30 December 2019

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DLMF:25.8.E2
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    k = 0 Γ ( s + k ) ( k + 1 ) ! ( ζ ( s + k ) - 1 ) = Γ ( s - 1 ) , superscript subscript 𝑘 0 Euler-Gamma 𝑠 𝑘 𝑘 1 Riemann-zeta 𝑠 𝑘 1 Euler-Gamma 𝑠 1 {\displaystyle{\displaystyle\sum_{k=0}^{\infty}\frac{\Gamma\left(s+k\right)}{(% k+1)!}\left(\zeta\left(s+k\right)-1\right)=\Gamma\left(s-1\right),}}
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    s 1 , 0 , - 1 , - 2 , 𝑠 1 0 1 2 {\displaystyle{\displaystyle s\neq 1,0,-1,-2,\dots}}
    0 references