We show that non-minimal inflation, based on the phi^4 potential, may be
rendered unitarity conserving and compatible with the Planck results for
4.6x10^(-3)<~r21=c2R/c1R^2<~1, if we introduce a linear contribution (c1R phi)
to the frame function which takes the form fR=1+c1R phi+c2R phi^2.
Supersymmetrization of this model can be achieved by considering two gauge
singlet superfields and combining a linear-quadratic superpotential term, with
a class of logarithmic or semi-logarithmic Kaehler potentials with prefactor
for the logarithms including the inflaton field -(2n+3) or -2(n+1) where
-0.01<~ n<~0.013.Comment: Published Version. arXiv admin note: text overlap with
arXiv:1807.0115