Formula:3450

Digital Library of Mathematical Functions ID 8.22.E3

${\displaystyle{\displaystyle\zeta_{x}(s)=\sum_{k=1}^{\infty}k^{-s}P\left(s,kx\right),}}$

Constraint(s)

${\displaystyle{\displaystyle\Re s>1}}$

Symbols List

• ${\displaystyle{\displaystyle P\left(\NVar{a},\NVar{z}\right)}}$: normalized incomplete gamma function
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle\zeta_{x}(s)}}$: incomplete Riemann zeta function (locally)
 

Resources that cite this formula

No records found.