Nonminimal coupling inflation with constant slow roll

We study a single field inflationary model modified by non-minimal coupling term between the Ricci scalar $R$ and $\varphi$ in context of constant-roll inflation. The first-order formalism is used to analyse inflation instead standard methods literature. In principle, considers two functions field, $W=W(\varphi)$ $Z=Z(\varphi)$, which lead reduction equations motion differential equations. approach can be applied wide range cosmological situations since it directly relates function $W$ with Hubble parameter $H$. perform analysis for power-law exponential couplings, separately. Then, we investigate features potentials as potentials. Finally, compare parameters models observations CMB anisotropies view realize physically motivated model.