Driving circuit for electroluminescent display device and its related method of operation

A gate of a driving transistor is set to a offset level corresponding to the threshold of the driving transistor by an initializing current flowing between a source and a drain of the driving transistor or a compensating transistor for the driving transistor. A conduction state of the driving transistor is set according to a gate voltage of the gate of the driving transistor that corresponds to a data signal and the threshold of the driving transistor. A current of which a level corresponds to the conduction state and of which the direction is opposite to the direction of the initializing current flows through driving transistor.