Abstract
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 hyper-order under the hypothesis that the Fatou set of $P(z)$ has a multiply connected component.
Citation
Guowei Zhang. Jian Wang. "THE INFINITE GROWTH OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS OF WHICH COEFFICIENT WITH DYNAMICAL PROPERTY." Taiwanese J. Math. 18 (4) 1063 - 1069, 2014. https://doi.org/10.11650/tjm.18.2014.3902
Information
