Lower order and Baker wandering domains of solutions to differential equations with coefficients of exponential growth. (English) Zbl 1429.30029
The authors consider a linear differential equation of the form \(f'' + Af = H\), where \(A\) is an entire function with a growth property similar to that of an exponential function and \(H\) is an entire function having order less than that of \(A\). They prove that the lower order of any non-zero solution of the said differential equation is infinite. Using this fact it is proved that the entire solutions of the differential equation do not bear Baker wandering domains.
Reviewer: Indrajit Lahiri (Kalyani)
MSC:
| 30D15 | Special classes of entire functions of one complex variable and growth estimates |
| 34M05 | Entire and meromorphic solutions to ordinary differential equations in the complex domain |
Keywords:
linear differential equations; entire solutions; growth properties; Baker wandering domainsReferences:
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