DLMF:25.11.E10 (Q7684): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
Β 
imported>Admin
Property / constraint
Β 

| a - 1 | < 1 π‘Ž 1 1 {\displaystyle{\displaystyle|a-1|<1}}

|a-1|<1
Property / constraint: | a - 1 | < 1 π‘Ž 1 1 {\displaystyle{\displaystyle|a-1|<1}} / rank
Β 
Normal rank

Revision as of 17:16, 30 December 2019

No description defined
Language Label Description Also known as
English
DLMF:25.11.E10
No description defined

    Statements

    ΞΆ ⁑ ( s , a ) = βˆ‘ n = 0 ∞ ( s ) n n ! ⁒ ΞΆ ⁑ ( n + s ) ⁒ ( 1 - a ) n , Hurwitz-zeta 𝑠 π‘Ž superscript subscript 𝑛 0 Pochhammer 𝑠 𝑛 𝑛 Riemann-zeta 𝑛 𝑠 superscript 1 π‘Ž 𝑛 {\displaystyle{\displaystyle\zeta\left(s,a\right)=\sum_{n=0}^{\infty}\frac{{% \left(s\right)_{n}}}{n!}\zeta\left(n+s\right)(1-a)^{n},}}
    0 references
    0 references
    | a - 1 | < 1 π‘Ž 1 1 {\displaystyle{\displaystyle|a-1|<1}}
    0 references