  In this paper we wish to point out the possibility of using a complex scalar
field in a constant roll inflationary model, as needed for observational
viability. We extend the idea of real field inflaton with constant rate of roll
to a complex field, showing the feasibility of solving Einstein Klein-Gordon
equations constrained by an \emph{appropriate} form of constant roll
definition. As compared to the well known (two-parametric class of) real field
models, there is one more degree of flexibility in constant roll inflationary
solutions which is represented by an arbitrary function of time, $\gamma(t)$.
We work with an arbitrary but constant function $\gamma$ (where $\gamma=0$
refers to the corresponding real field model) and find new inflationary class
of potentials. In this class of models, the behavior of real and complex field
models are similar in some aspects, for example the solutions with large
constant roll parameter are not stable and should be considered as early time
transients. These field solutions relax at late time on a dual attractor
trajectory. However, complex fields phase space trajectories reach this stable
regime after real fields. We performed the stability analysis on $\gamma$
function space solutions and found that dynamically stable trajectories in
phase space are stable under $\gamma$ variations. We extended this study by
considering multifield models of constant roll inflation with non-canonical
kinetic terms. By enlarging the size of field space, we showed that a
multifield constant roll model is dynamically a single field effective theory.
If field space is parametrized by $N$ non-canonical fields, there will be $N$
free parameters in the potential that can be attributed to the interaction
between the fields.
