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

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.