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.
UNIQUENESS POLYNOMIALS FOR COMPLEX MEROMORPHIC FUNCTIONS
β Scribed by AN, TA THI HOAI; WANG, JULIE TZU-YUEH
- Book ID
- 121377641
- Publisher
- World Scientific Publishing Company
- Year
- 2002
- Tongue
- English
- Weight
- 347 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0129-167X
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π SIMILAR VOLUMES
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,
In the paper we present a uniqueness polynomial for a class of meromorphic functions having the same set of poles. ## Introduction, definitions and results Let f be a non-constant meromorphic function in the open complex plane C and S be a set of distinct elements of C [ ΒΉ1ΒΊ. We put E f .S / D S a
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