Abstract

The theory of value distribution of meromorphic functions is developed in two directions: module distribution and argument distribution. This article is a survey on two aspects of the value distribution of meromorphic functions with respect to arguments and it also includes some new results. The first part is to survey a characterization of growth of a transcendental meromorphic function for which the number of a-points in certain curvilinear sectors, specially in angular domains, is restricted. The second part is devoted to the discussion of singular directions: the Julia, Borel directions and T-directions. In the final section, some problems will be given for further discussion.

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