Abstract
In the paper we discuss the uniqueness problem for meromorphic functions that share two sets and prove five theorems which improve and supplement some results earlier given by Yi and Yang [13], Lahiri and Banerjee [5].
Similar content being viewed by others
References
W. K. Hayman: Meromorphic Functions. Clarendon Press, Oxford, 1964.
I. Lahiri: Weighted value sharing and uniqueness of meromorphic functions. Complex Variables, Theory Appl. 46 (2001), 241–253.
I. Lahiri: Weighted sharing and uniqueness of meromorphic functions. Nagoya Math. J. 161 (2001), 193–206.
I. Lahiri: Value distribution of certain differential polynomials. Int. J. Math. Math. Sci. 28 (2001), 83–91.
I. Lahiri, A. Banerjee: Weighted sharing of two sets. Kyungpook Math. J. 46 (2006), 79–87.
I. Lahiri, S. Dewan: Value distribution of the product of a meromorphic function and its derivative. Kodai Math. J. 26 (2003), 95–100.
G. D. Song, N. Li: On a problem of Gross concerning unicity of meromorphic functions. Chin. Ann. Math. 17A (1996), 189–194.
C. C. Yang: On deficiencies of differential polynomials, II. Math. Z. 125 (1972), 107–112.
H. X. Yi: Unicity theorems for entire functions. Kodai Math. J. 17 (1994), 133–141.
H. X. Yi: Meromorphic functions that share one or two values. Complex Variables, Theory Appl. 28 (1995), 1–11.
H. X. Yi: Uniqueness theorems for meromorphic functions II. Indian J. Pure Appl. Math. 28 (1997), 509–519.
H. X. Yi: Meromorphic functions that share three sets. Kodai Math. J. 20 (1997), 22–32.
H. X. Yi, L. Z. Yang: Meromorphic functions that share two sets. Kodai Math. J. 20 (1997), 127–134.
H. X. Yi: Meromorphic functions that share one or two values II. Kodai Math. J. 22 (1999), 264–272.
H. X. Yi, W. C. Lin: Some further results on meromorphic functions that share two sets. Kyungpook Math. J. 43 (2003), 73–85.
H. X. Yi, Thamir C. Alzahary: Weighted value sharing and a question of I. Lahir. Complex Variables, Theory Appl. 49 (2004), 1063–1078.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Banerjee, A. Meromorphic functions sharing two sets. Czech Math J 57, 1199–1214 (2007). https://doi.org/10.1007/s10587-007-0119-8
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10587-007-0119-8