Transcendental entire functions whose Julia set is the complex plane

With the help of the Schwarzian derivative, critical points and asymptotic values, we present a sufficient condition for some classes of transcendental entire functions to have their Julia set to be the complex plane. Further, it is shown that the composition with a function which preserves these properties (but does not necessarily have the plane as a Julia set) again gives a function with empty Fatou set. By the two theorems we obtain new classes of simple entire functions whose Julia set is the complex plane.