Author:
Barsegian Grigor,Yuan Wenjun
Abstract
Abstract
The value distribution and, in particular, the numbers of a-points, have not been studied for meromorphic functions which are solutions of some complex differential equations in a given domain.
Instead, the numbers of good a-points and Ahlfors islands, which play to a certain extend a role similar to that of the numbers of a-points, have been considered in some recent papers.
In this paper, we consider meromorphic functions in a given domain, which are the solutions of some higher order equations and largely generalize the solutions of Painlevé equations 3–6.
We give the upper bounds for the numbers of good a-points and Ahlfors islands of similar solutions.
Funder
National Natural Science Foundation of China
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