Minimal plateau inflationary cosmologies and constraints from reheating
  With the growing consensus on simple power law inflation models not being
favored by the PLANCK observations, dynamics for the non-standard inflation
gain significant interest in the recent past. In this paper, we analyze in
detail a class of supergravity inspired phenomenological inflationary models
with non-polynomial potential based on Maity (Nucl.Phys. B919 (2017) 560), and
compare the model predictions with the currently most favored Starobinsky and
its generalized $\alpha$-attractor models in the ($n_s$ , $r$) plane
constrained by PLANCK. Importantly for a wide range of parameter space, our
model provides successful inflation in the sub-Planckian regime. We also have
performed model independent analysis of reheating in terms of the effective
equation of state parameter. In particular, we consider two stages of reheating
dynamics with generalized inflaton equation of state in the initial and
relativistic equation of state in the later phase. Finally, we show how our
generalized reheating analysis constrains the inflation models under
consideration
