LINEAR DIFFERENTIAL POLYNOMIALS WEIGHTED-SHARING A SET OF ROOTS OF UNITY
Abstract
In this paper, we study the uniqueness of linear diFFerential polynomials of meromorphic functions when they share a set of roots of unity. Our results shall generalize recent results.
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A. Banerjee, Meromorphic functions sharing one value, Int. J. Math. Sci., 22 (2005), 3587-3598.
A. Banerjee and B. Chakraborty, Further investigations on a questions of Zhang and Lu, Ann. Univ. Paedagog. Crac. Stud. Math., 14 (2015), 105-119.
S. S. Bhoosnurmath and R. S. Dyavanal, Uniqueness and value sharing of meromorphic functions, Comput. Math. Appl., 53 (2007), 1191-1205.
W. K. Hayman, Meromorphic functions, Clarendon Press, 1964.
H. X. Hua and C. C. Yang, Uniqueness and value-sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math., 22 (1997), 395-406.
H. H. Khoai and V. H. An, On uniqueness for meromorphic functions and their $n-th$ derivatives, Annales Univ. Sci. Budapest., Sect. Comp., 47 (2018), 117--126.
I. Lahiri, Weighted value sharing and uniqueness of meromorphic functions, Complex Var. Theory Appl., 46 (2001), 241-253.
I. Lahiri, Weighted sharing and uniqueness of meromorphic functions, Nagoya Math. J., 161(2001), 193-206.
I. Lahiri and K. Sinha, Linear differential polynomials sharing a set of the roots of unity, Commun. Korean Math. Soc., 35(2020), No. 3, 773-787.
D. C. Pramanik and J. Roy, Uniqueness of Meromorphic Functions Sharing a Set of Roots of Unity, J. Indian. Math. Soc., 87(3--4) 2020, 206-218.
C. C. Yang, On deficiencies of differential polynomials II, Math. Z., 125 (1972), 107-112.
L. Yang, Value distributions theory, Springer-Verlag, 1993.
H. X. Yi and C. C. Yang, Uniqueness theory of meromorphic functions(in Chinese), Science Press, 1995.
DOI: https://doi.org/10.22190/FUMI200724025P
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