  We study the effect of different symmetric random field distributions:
trimodal and Gaussian on the phase diagram of the infinite range Blume-Capel
model. For the trimodal random field, the model has a very rich phase diagram.
We find three new ordered phases, multicritical points like tricritical point
(TCP), bicritical end point (BEP), critical end point (CEP) along with some
multi-phase coexistence points. We also find re-entrance at low temperatures
for some values of the parameters. On the other hand for the Gaussian
distribution the phase diagram consists of a continuous line of transition
followed by a first order transition line, meeting at a TCP. The TCP vanishes
for higher strength of the random field. In contrast to the trimodal case, in
Gaussian case no new phase emerges.
