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On uniqueness of meromorphic functions with multiple values in some angular domains. (English) Zbl 1176.30084

Summary: This article deals with problems of the uniqueness of transcendental meromorphic functions with shared values in some angular domains dealing with the multiple values which improve a result of J. Zheng.

MSC:

30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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References:

[1] Hayman WK: Meromorphic Functions. Clarendon Press, Oxford, UK; 1964. · Zbl 0115.06203
[2] Nevanlinna R: Le théorème de Picard-Borel et la Théorie des Fonctions Méromorphes. Gauthier-Villars, Paris, France; 1929. · JFM 55.0773.03
[3] Yi HX, Yang C-C: Uniqueness Theorey of Meromorphic Functions. Kluwer Academic Publishers, Boston, Mass, USA; 2003.
[4] Zheng JH: On uniqueness of meromorphic functions with shared values in some angular domains.Canadian Mathematical Bulletin 2004, 47: 152-160. 10.4153/CMB-2004-016-1 · Zbl 1045.30019 · doi:10.4153/CMB-2004-016-1
[5] Yang, L., Borel directions of meromorphic functions in an angular domain, 149-163 (1979)
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[10] Zheng JH: On transcendental meromorphic functions with radially distributed values.Science in China 2004, 47: 401-416. 10.1360/02ys0210 · Zbl 1081.30032 · doi:10.1360/02ys0210
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