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Uniqueness Theorems for Meromorphic Functions with Two Deficient Values
Hong-Xun Yi ...et al KYUNGPOOK UNIVERSITY 1999 Kyungpook mathematical journal Vol.39 No.1
This paper discusses the problem of uniqueness of meromorphic functions, ignoring value-points of high multiplicity. The authors prove that if f is a nonconstant meromorphic function with 4σ(0) +3(k+2)Θ(∞) > 3k+9, then f can be determined uniquely by either the sets E_(1))(a₁) and E_(1))(a₂) or E^((k))_(1))(b₁) and E^((k))_(1))(b₂), where a₁, a₂, b₁and b₂are finite nonzero complex numbers such that a²₁≠ a²₂and b²₁≠ b²₂. This improve some theorems given by K. L. Hiong, L. Yang, H. C. Xie, H. X. Yi and other authors. Examples are provided to show that the results in this paper are sharp.