THE INFINITE GROWTH OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS OF WHICH COEFFICIENT WITH DYNAMICAL PROPERTY

摘要

In this paper, we prove that the transcendental entire solution of complex linear differential equation f~((k)) - e~(P(z))f = Q(z), where P(z) is a transcendental entire function and Q(z) is a polynomial, is of infinite hyperorder under the hypothesis that the Fatou set of P(z) has a multiply connected component.