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A fundamental inequality for meromorphic functions in an angular domain and its application. (English) Zbl 0838.30027

The author studies meromorphic functions for an angular domain by means of Ahlfors’ covering theory and obtain an inequality which is similar to the one in the second fundamental theorem in Nevanlinna theory. The author also gets, by using the inequality, a sufficient and necessary condition for a ray to be a Borel direction.

MSC:

30D30 Meromorphic functions of one complex variable (general theory)
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References:

[1] Tsuji, M., Potential Theory in Modern Function Theory, Tokyo, 1959. · Zbl 0087.28401
[2] Chuang Chitai, Singular Directions of Meromorphic Functions, Science Press, 1982. · Zbl 0915.30029
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