Lower order and Baker wandering domains of solutions to differential equations with coefficients of exponential growth
![Thumbnail](/bitstream/handle/123456789/7696/15664605711276390520.pdf.jpg?sequence=4&isAllowed=y)
Files
Self archived version
final draftDate
2019Author(s)
Korhonen, Risto
Wang, Jun
Ye, Zhuan
Unique identifier
10.1016/j.jmaa.2019.07.007Metadata
Show full item recordMore information
Self-archived item
Citation
Korhonen, Risto. Wang, Jun. Ye, Zhuan. (2019). Lower order and Baker wandering domains of solutions to differential equations with coefficients of exponential growth. Journal of mathematical analysis and applications, 479 (2) , 1475-1489. 10.1016/j.jmaa.2019.07.007.Rights
© Elsevier Inc.
Abstract
We investigate transcendental entire solutions of complex differential equations f″+ A(z)f = H(z), where the entire function A(z) has a growth property similar to the exponential functions, and H(z) is an entire function of order less than that of A. We first prove that the lower order of the entire solution to the equation is infinity. By using our result on the lower order, we prove the entire solution does not bear any Baker wandering domains.