What do you want?
A picture?
A formula?
Without values...without defined input signal?
Imagine:
If R is low with respect to C, then the voltage waveform will be like input waveform.
If R is high with respect to C, then the voltage waveform is like the integral of the input current.
The true waveform will be soewhere inbetween.
The also magnitude will depends on values.
Simple linear mathematics of kindergarten level.
Consider superposition.
For lonely pulses, invoke Laplace inverse transformation with superposition.
For periodic pulses, consider Fourier expansion and superposition of partial response for each harmonics.
For lonley pulses, simply solve the circuit in the "s" domain, and then convert the output voltage as a function of the input current using the inverse Laplace Transform. You then have the output voltage response for an input current.