Open Access
Subscription Access
Open Access
Subscription Access
Generalization on the Question of C. C. Yang in the Light of Weighted Shared Sets
Subscribe/Renew Journal
In this paper, with the help of weighted sharing method, we have extended the question of Yang [8] from value sharing to set sharing which in turn have improved the results of Li-Gu [6] and Yi [10, 11] to a large extent.
Keywords
Meromorphic Function, Derivative, Small Function, Weighted Sharing, Shared Sets.
Subscription
Login to verify subscription
User
Font Size
Information
- A. Banerjee, Meromorphic functions sharing one value, Int. J. Math. Math. Sci., 22(2005), 3587 - 3598.
- W. K. Hayman, Meromorphic functions, Oxford, Clarendon Press, 1964.
- I. Lahiri, Weighted sharing and uniqueness of meromorphic functions, Nagoya Math. J., 16(1)(2001), 193-206.
- I. Lahiri, Weighted value sharing and uniqueness of meromorphic functions, Complex Var. Theory Appl., 46(2001), 241-253.
- I. Lahiri and A. Sarkar, Uniqueness of meromorphic function and its derivative, J. Inequal. Pure Appl. Math., 5 (1)(2004), Art.20 [ONLINE http://jipam.vu.edu.au/].
- J. T. Li and Y. X Gu, On uniqueness of meromorphic functions and their derivatives, Acta Mathematica Sinica (Chinese Series), 43(1)(2000), 87-94.
- P. Li and C. C. Yang, Some further results on the unique range sets of meromorphic functions, Kodai Math. J., 18(1995), 437-450.
- C. C. Yang, On two entire functions which together with their first derivatives have the same zero, J. Math. Anal. Appl., 56(1976), 1-6.
- L. Yang, Value Distribution Theory, Springer-verlag, Berlin.
- H. X. Yi, A question of C. C. Yang on the uniqueness of entire functions, Kodai Math. J., 13(1)(1990), 39-46.
- H. X. Yi, Uniqueness of meromorphic function and a question of C. C. Yang, Complex Var. Theory Appl., 14(2)(1990), 169-176.
- H. X. Yi, Unicity theorems for meromorphic function whose n-th derivatives share the same 1-points, Complex Var. Theory Appl., 34(1997), 421-436.
- H. X. Yi, On characteristic function of a meromorphic function and its derivative, Indian J. Math., 33(2)(1991), 119-133.
- H. X. Yi and C. C. Yang, Uniqueness theory of meromorphic functions. Science Press/Kluwer Academic Publishers, Beijing/ New York.(1995/2003).
- Q. C. Zhang, Meromorphic function that shares one small function with its derivative, J. Inequal. Pure Appl. Math., 6(4)(2005), Art.116 [ ONLINE http://jipam.vu.edu.au/].
Abstract Views: 384
PDF Views: 4