Growth of solutions to higher order linear homogeneous differential equations in angular domains.
We investigate the uniqueness of transcendental algebroid functions with shared values in some angular domains instead of the whole complex plane ℂ. We obtain two theorems which are counterparts of results for meromorphic functions obtained by Zheng.
We investigate how the growth of an algebroid function could be affected by the distribution of the arguments of its a-points in the complex plane. We give estimates of the growth order of an algebroid function with radially distributed values, which are counterparts of results for meromorphic functions with radially distributed values.
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