Permutation polynomials (xpm−x+δ)s1+(xpm−x+δ)s2+x over Fpn

In this paper, we propose several classes of permutation polynomials with the form (xpm−x+δ)s1+(xpm−x+δ)s2+x over finite fields. The permutation behavior of the proposed polynomials is investigated by the AGW criterion and determination of the number of solutions to certain equations over finite fields.