Bull. Korean Math. Soc. 2021; 58(6): 1495-1506
Online first article July 5, 2021 Printed November 30, 2021
https://doi.org/10.4134/BKMS.b201051
Copyright © The Korean Mathematical Society.
Guowei Zhang
Anyang Normal University
The growth of solutions of second order complex differential equations $f''+A(z)f'+B(z)f=0$ with transcendental entire coefficients is considered. Assuming that $A(z)$ has a finite deficient value and that $B(z)$ has either Fabry gaps or a multiply connected Fatou component, it follows that all solutions are of infinite order of growth.
Keywords: Entire function, infinite order, complex differential equation
MSC numbers: 30D35, 34M10, 37F10
Supported by: This work was supported by the key scientific research project for higher education institutions of Henan Province, China (No. 18A110002) and training program for young backbone teachers of colleges and universities in Henan Province, China (No. 2017GGJS126).
2021; 58(2): 419-431
2013; 50(4): 1209-1219
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