Suppose that f( z ) is a transcendental entire function and that F(f) contains unbounded Fatou components. In this article, we obtained some links between the lowor bounds of the lower order of f and the angle of ...Suppose that f( z ) is a transcendental entire function and that F(f) contains unbounded Fatou components. In this article, we obtained some links between the lowor bounds of the lower order of f and the angle of an angular sector which is completely contained in an unbounded Fatou component of F(f). Then, we investigate the bounded components for the Julia set J(f) of a transcendental entire function f(z ) and obtain a sufficient and necessary condition.展开更多
文摘Suppose that f( z ) is a transcendental entire function and that F(f) contains unbounded Fatou components. In this article, we obtained some links between the lowor bounds of the lower order of f and the angle of an angular sector which is completely contained in an unbounded Fatou component of F(f). Then, we investigate the bounded components for the Julia set J(f) of a transcendental entire function f(z ) and obtain a sufficient and necessary condition.