Baker studied the growth of the comPosite function f{f(z)} for a transcendentally entire function f(z) of zero order and showed by three examples that the order of f{f(z)} can be O, ∞ or 1. In the present letter, we ...Baker studied the growth of the comPosite function f{f(z)} for a transcendentally entire function f(z) of zero order and showed by three examples that the order of f{f(z)} can be O, ∞ or 1. In the present letter, we give two sufficient conditions under which the function f{f(z)} is of zero order (or infinite order). Besides, making use of some results of Baker’s, we construct a transcendentally entire function f(z)展开更多
文摘Baker studied the growth of the comPosite function f{f(z)} for a transcendentally entire function f(z) of zero order and showed by three examples that the order of f{f(z)} can be O, ∞ or 1. In the present letter, we give two sufficient conditions under which the function f{f(z)} is of zero order (or infinite order). Besides, making use of some results of Baker’s, we construct a transcendentally entire function f(z)
