In following figure is an elliptic prototype filter, I'd like to transform it to gm-c counterpart, for example, I could transfer the source and load resistors to 1/gm, but as to the inductors and capacitors, how to simulate them with gm units? or could anyone recommend some documents on it?
I do not recommend to "transform" this passive prototype to an active filter structure (although possible, in principle).
The problems are the floating inductors which can be actively simulated only using rather complex circuitry.
In general, active filter realizations have their own structures - in particular when gm-C realizations are required.
First, you should try to become familiar with the principles of higher order gm-C realizations which is a rather complex task.