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.