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We discuss the constant-roll inflation with constant $epsilon_2$ and constant $bareta$. By using the method of Bessel function approximation, the analytical expressions for the scalar and tensor power spectra, the scalar and tensor spectral tilts, and the tensor to scalar ratio are derived up to the first order of $epsilon_1$. The model with constant $epsilon_2$ is ruled out by the observations at the $3sigma$ confidence level, and the model with constant $bareta$ is consistent with the observations at the $1sigma$ confidence level. The potential for the model with constant $bareta$ is also obtained from the Hamilton-Jacobi equation. Although the observations constrain the constant-roll inflation to be slow-roll inflation, the $n_s-r$ results from the constant-roll inflation are not the same as those from the slow-roll inflation even when $baretasim 0.01$.
For the constant-roll tachyon inflation, we derive the analytical expressions for the scalar and tensor power spectra, the scalar and tensor spectral tilts and the tensor to scalar ratio up to the first order by using the method of Bessel function ap
The primordial power spectra of scalar and tensor perturbations during slow-roll inflation are usually calculated with the method of Bessel function approximation. For constant-roll or ultra slow-roll inflation, the method of Bessel function approxim
We study the inflationary period driven by a fermionic field which is non-minimally coupled to gravity in the context of the constant-roll approach. We consider the model for a specific form of coupling and perform the corresponding inflationary anal
In this paper, we study a non-canonical extension of a supergravity-motivated model acting as a vivid counterexample to the cosmic no-hair conjecture due to its unusual coupling between scalar and electromagnetic fields. In particular, a canonical sc
We study the seemingly duality between large and small $eta_H$ for the constant-roll inflation with the second slow-roll parameter $eta_H$ being a constant. In the previous studies, only the constant-roll inflationary models with small $eta_H$ are fo