Using Nevanlinna value distribution theory, we study the uniqueness of meromorphic functions concerning differential polynomials, and prove the following theorem. Let f(z) and g(z) be two nonconstant meromorphic functions, n(> 13) be a positive integer. If f'~(f -1)2f ' and gn(g \_ 1)2g~ share 1 CM,
Uniqueness of meromorphic functions and differential polynomials
β Scribed by Lipei Liu
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 633 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
In this paper, we study the uniqueness theorem of meromorphic functions concerning differential polynomials, and obtain two theorems, which improve and generalize the related results of Fang, S.
π SIMILAR VOLUMES
Let W be an algebraically closed field of characteristic zero, and let K be an algebraically closed field of characteristic zero, complete for an ultrametric absolute value. A(K) will denote the ring of entire functions in K and M(K) will denote the field of meromorphic functions in K. In this paper
r a c t In the paper, we study the uniqueness and the shared fixed-points of meromorphic functions and prove two main theorems which improve the results of Fang and Fang and Qiu.