Results on Difference-Differential Polynomial of Entire Functions
DOI:
https://doi.org/10.5644/SJM.19.02.07Keywords:
Meromorphic functions, Entire functions, shared values, differential polynomials, uniquenessAbstract
In this paper, we deal with the uniqueness results of derivatives of difference-differential polynomials of entire functions sharing a value with CM(IM). The results of this paper extend the results of K. Liu, X.L. Liu and T.B. Cao[8,9] and K. Zhang and H. Yi[17] and many others.
Downloads
References
J.F. Chen and W.C. Lin, Entire or meromorphic functions sharing one value, Computers and Mathematics with Applications, 56(2008), 1876-1883.
H.H. Chen and M.L. Fang, On the value distribution of $f^{n}f^{'}$, Sci China Ser A, 1995, 38:789-798.
R.S. Dyavanal and M.M. Mathai, Uniqueness of difference-differential polynomial of meromorphic functions, Ukrainian Mathematical Journal, 71(2019), no.7, 1032-1042.
M. Fang and Y. Wang, A note on the conjecture of Hayman, Mues and Gol'dberg, Comput. Methods Funct. Theory(2013), no.4, 533-543.
W.K. Hayman, Meromorphic functions, Oxford Mathematical Manogaphs, Clarendon Press, Oxford, 1964.
H. Huang and B. Huang, Uniqueness of meromorphic functions concerning differential polynomials, Appl. Math. (Irvine) 2(2011), no.2, 230-235.
I. Laine, Nevanlinna Theory and Complex Differential Equations, De Gruyter, Berlin(1993)
K. Liu, X.L. Liu and T.B.Cao, Some results on zeros and uniqueness of difference-differential polynomials, Appl. Math. J. Chinese Univ., Ser. A, 27(2012)No.1, 94-104.
K. Liu, X.L. Liu and T.B. Cao, Some results on zeros of distributions and uniqueness of derivatives of difference polynomials, arXiv:1107.0773[mathCV](2011).
C. Wu, C. Mu and J. Li, Uniqueness of meromorphic functions concerning differential polynomials share one value, Journal of Inequalities and Applications, 133(2011).
C.C. Yang and X.H. Hua, Uniqueness and value sharing of meromorphic functions, Ann. Acad. Sci. Fen. Math., 1997, 22:395-406.
L. Yang, Value distribution theory, Springer-verlag, Berlin, 1993.
H.X. Yi, Uniqueness of meromorphic functions and a question of C.C.Yang, Complex Var. Elliptic Equat., 14(1)(1990), 169-176.
H.X. Yi, Meromorphic functions that share one or two values II, Kodai Math. J., 22(1997), 264-272.
X.Y. Zhang, J.F. Chen and W. Lin, Entire or meromorphic functions sharing one value, Comput. Math. Appl. 56(2008)1876-1883.
X.B. Zhang and H.X. Yi, On some problems of difference functions and difference equations, Bull. Malays. math. Sci. (2)36(2013), no.4, 1127-1137.
K. Zhang and H. Yi, The value distribution and uniqueness of one certain type of differential-difference polynimials, Acta Math. Sci., 34(B), 2014, 719-728.