New Julia sets for complex Carotid–Kundalini function

Abstract: The C–K function, generally called Carotid–Kundalini function, is given by z j+1 =cos(N z j cos−1 (z j ))+ 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. [Copyright &y& Elsevier]