Power of a meromorphic function that share a set with its derivative
DOI:
https://doi.org/10.24193/subbmath.2018.2.05Keywords:
Meromorphic function, uniqueness, derivatives, set sharing.Abstract
In this article, we deal with the problem of the uniqueness of the power of a
meromorphic function with its derivative counterpart sharing a set and thus generalize some
existing result in a dierent direction as well as improve our recent result ([3]) under some
constraints.
References
T. C. Alzahary, Meromorphic Functions withWeighted Sharing of One Set, Kyungpook Math. J., 47 (2007),
-68.
A. Banerjee and B. Chakraborty, A new type of unique range set with decient values, Afrika Matematika,
(2015), no. 78, 15611572..
A. Banerjee and B. Chakraborty, Uniqueness of the power of meromorphic functions with its dierential
polynomial sharing a set, Mathematica Moravica, 20 (2016), no. 2, 1-14.
W. K. Hayman, Meromorphic Functions, The Clarendon Press, Oxford (1964).
I. Lahiri, Weighted sharing and uniqueness of meromorphic functions, Nagoya Math. J., 161 (2001), 193-
W. C. Lin and H. X. Yi, Uniqueness Theorems for meromorphic functions that share three sets, Complex
Variables, 48 (2003), 315-327.
A. Z. Mokhon'ko, On the Nevanlinna characteristics of some meromorphic functions, in "Theory of Func-
tions, functional analysis and their applications", Izd-vo Khar'kovsk, Un-ta, 14 (1971), 83-87.
E. Mues and N. Steinmetz, Meromorphe Funktionen die unit ihrer Ableitung Werte teilen, Manuscripta
Math., 29 (1979) 195-206.
L. A. Rubel and C. C. Yang, Values shared by an entire function and its derivative, Complex analysis (Proc.
Conf., Univ. Kentucky, Lexington, Ky., 1976), Lecture Notes in Math., 599 (1977), 101-103, Springer,
Berlin.
L. Z. Yang and J. L. Zhang, Non-existance of meromorphic solutions of Fermat type functional equation,
Aequations Math., 76 (2008), 140-150.
J. L. Zhang, Meromorphic functions sharing a small function with their derivatives, Kyungpook Math. J.,
(2009), 143-154.
J. L. Zhang and L. Z. Yang, A power of a meromorphic function sharing a small function with its derivative,
Ann. Acad. Sci. Fenn. Math., 34(2009), 249-260.
Downloads
Additional Files
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Transfer of copyright agreement: When the article is accepted for publication, the authors and the representative of the coauthors, hereby agree to transfer to Studia Universitatis Babeș-Bolyai Mathematica all rights, including those pertaining to electronic forms and transmissions, under existing copyright laws, except for the following, which the authors specifically retain: the authors can use the material however they want as long as it fits the NC ND terms of the license. The authors have all rights for reuse according to the license.
