Reversed Dickson polynomials of the (k + 1)-th kind over finite fields

We discuss the properties and the permutation behavior of the reversed Dickson polynomials of the (k+1)(k+1)-th kind Dn,k(1,x)Dn,k(1,x) over finite fields. The results in this paper unify and generalize several recently discovered results on reversed Dickson polynomials over finite fields.