  In this article we study multipole moments of axisymmetric stationary
asymptotically flat spacetimes. We show how the tensorial recursion of Geroch
and Hansen can be reduced to a recursion of scalar functions. We also
demonstrate how a careful choice of conformal factor collects all moments into
one complex valued function on R, where the moments appear as the derivatives
at 0. As an application, we calculate the moments of the Kerr solution. We also
discuss the freedom in choosing the potential for the moments.
