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Weighted value sharing and uniqueness of meromorphic functions
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With the and of the notion of weighted sharing, the authors proved some uniqueness theorems of meromorphic functions which improved some earlier results of the same authors, such as the following:Abstract:
With the and of the notion of weighted sharing we prove some uniqueness theorems of meromorphic functions which improve some earlier resultsread more
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Journal ArticleDOI
Meromorphic functions sharing one value
TL;DR: Two theorems are obtained which improve a result of Xu and Qu and supplement some other results earlier given by Yang, Hua, and Lahiri.
Journal Article
Uniqueness of a meromorphic function and its derivative
Indrajit Lahiri,Arindam Sarkar +1 more
TL;DR: In this paper, the authors considered the problem of uniqueness of meromorphic functions sharing one finite nonzero value or a nonzero function with their derivatives and answered some open questions posed by K.W. Yu.
Journal Article
Weighted Sharing of Two Sets
Indrajit Lahiri,Abhijit Banerjee +1 more
TL;DR: Using the notion of weighted sharing of sets, this paper improved two results of H. X. Yi on uniqueness of meromorphic functions, and showed that weighted sharing can be used to improve the uniqueness of functions.
Journal ArticleDOI
Weighted sharing of three values and uniqueness of meromorphic functions
TL;DR: Using the idea of weighted sharing, this article proved a result on uniqueness of meromorphic functions sharing three values which improved some results of Ueda, Yi and Ye, and improved the results of Yi, Ueda and Ye.
Journal ArticleDOI
Weighted value sharing and a question of I. Lahiri
Thamir C. ALzahary,Hong X. Yi +1 more
TL;DR: In this paper, the authors investigated the problem of weighted value sharing and uniqueness of meromorphic functions and proved some uniqueness theorems of these functions, which improved some earlier results.
References
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On Meromorphic Functions. I
TL;DR: In this article, the applications of homogeneous differential polynomials to the Nevanlinna theory of meromorphic functions in the finite complex plane have been given, and some generalizations by these polynomial coefficients have been shown.
Journal Article
Uniqueness and value-sharing of meromorphic functions
Chung-Chun Yang,Xinhou Hua +1 more
TL;DR: For n ≥ 11 and two meromorphic functions f(z) and g(z), if f n fand g n g'share the same nonzero and finite value a with the same multiplicities, then f ≡ dg or g = c1e cz and f = c2e −cz, where d is an (n + 1)th root of unity, c, c1 and c2 being constants.
Journal ArticleDOI
Meromorphic functions that share one or two values
TL;DR: In this paper, the authors deal with the problem of uniqueness of meromorphic functions that share one or two values and obtain some results that are improvements of that of M. Ozawa, H. Ueda, G. Brosch, X. Yi and other authors.
Journal ArticleDOI
Meromorphic functions sharing one value and unique range sets
E. Mues,M. Reinders +1 more