Lower order and Baker wandering domains of solutions to differential equations with coefficients of exponential growth
Tiedosto(t)
Rinnakkaistallenteen versio
final draftPäivämäärä
2019Tekijä(t)
Korhonen, Risto
Wang, Jun
Ye, Zhuan
Yksilöllinen tunniste
10.1016/j.jmaa.2019.07.007Metadata
Näytä kaikki kuvailutiedotLisätietoa
Rinnakkaistallenne
Viittaus
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.Oikeudet
© Elsevier Inc.
Tiivistelmä
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.