Skip to main content
1 of 2
John
  • 13
  • 5

Closed form expression for this infinite series?

Is there a closed-form expression for this series?

$\displaystyle\sum_{k\geq 1}^\infty \frac{\lambda^k e^{-\lambda}}{k!}\cdot[1-(1-x)^k]\cdot \frac{1}{k}$

Any answers, ideas or references would be appreciated.

Thanks in advance,

John

John
  • 13
  • 5