Abstract
This paper is to study the characteristic functions of meromorphic functions for an angular domain. We show an inequality which is similar to the inequality in the second fundamental theorem of Nevanlinna, and estimate its remainder. Finally, as an application we obtain a sufficient and necessary condition of Borel directions.
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References
Tsuji, M., Potential Theory in Modern Function Theory, Tokyo, 1959.
Chuang Chitai, Singular Directions of Meromorphic Functions, Science Press, 1982.
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Supported by the National Natural Science Foundation of China.
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Xuelian, Z. A fundamental inequality for meromorphic functions in an angular domain and its application. Acta Mathematica Sinica 10, 308–314 (1994). https://doi.org/10.1007/BF02560721
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DOI: https://doi.org/10.1007/BF02560721