Notes on some analytically solvable generalized constant-roll inflation models

We discuss a generalization of constant-roll inflation models by using \(\beta\) $\beta$ -function formalism for inflation in such a way that the exact constant-roll condition is asymptotically satisfied near the fixed points of the \(\beta\) $\beta$ -functions, in other words, in deep inflationary phase. Several types of the \(\beta\) $\beta$ -functions and the corresponding inflaton potentials which satisfy the generalized constant-roll condition are analytically found.