Potential of Dipole in Cylindrical coordinates

[Geocentric]

Homework Statement

I have been given the problem of finding the potential of a dipole in cylindrical coordinates. The only way that comes to my mind is to extract the dipole term from the multipole expansion of the potential of an arbitrary charge distribution in cylindrical coordinates. But I am not quite sure about it. Can anyone please throw more light on how to go about this problem? Please ignore if I have said something stupid.

Homework Equations

The Attempt at a Solution

 

[fzero]

If you're not meant to just take an expression for the dipole potential and just substitute coordinates, then doing the multipole expansion seems like your best bet. With an obvious choice of coordinates, the expansion is fairly easy.