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Abstract We investigate transcendental entire solutions of complex differential equations f ″ + A ( z ) f = H ( z ) , where the entire function A (… Click to show full abstract
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 ( z ) . 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.
Keywords:
lower order;
wandering domains;
growth;
order;
differential equations;
baker wandering
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!