New Julia sets for complex Carotid–Kundalini function

The C–K function, generally called Carotid–Kundalini function, is given by zj+1 = cos (N zj cos−1 (zj)) + c. Taking c = (0, 0), Cooper has presented some interesting Julia sets for the C–K function. In this paper, we introduce a new process of generation for the C–K function, and obtain some interesting variants of Julia sets generated by Cooper.