Lower order and Baker wandering domains of solutions to differential equations with coefficients of exponential growth

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Date
2019
Author
Korhonen, Risto
Wang, Jun
Ye, Zhuan
Unique identifier
10.1016/j.jmaa.2019.07.007
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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.
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CC BY-NC-ND https://creativecommons.org/licenses/by-nc-nd/4.0/
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.

Subjects
lower order   Baker wandering domain   entire function   linear differential equation   
URI
https://erepo.uef.fi/handle/123456789/7696
Link to the original item
http://dx.doi.org/10.1016/j.jmaa.2019.07.007
Publisher
Elsevier BV
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