Uniqueness of entire functions sharing polynomials with their derivatives.
Uniqueness of entire or meromorphic functions sharing one value or a function with finite weight.
Uniqueness of meromorphic functions and differential polynomials sharing one value with finite weight
This paper deals with the uniqueness problem for meromorphic functions sharing one value with finite weight. Our results generalize those of Fang, Hong, Bhoosnurmath and Dyavanal.
Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials
With the idea of normal family we study the uniqueness of meromorphic functions and when and share two values, where is any nonzero polynomial. The result of this paper significantly improves and generalizes the result due to A. Banerjee and S. Majumder (2018).
Uniqueness of meromorphic functions sharing a meromorphic function of a smaller order with their derivatives
We prove some uniqueness theorems for meromorphic functions and their derivatives that share a meromorphic function whose order is less than those of the above meromorphic functions. The results in this paper improve those given by G. G. Gundersen & L. Z. Yang, J. P. Wang, J. M. Chang & Y. Z. Zhu, and others. Some examples are provided to show that our results are the best possible.
Uniqueness of meromorphic functions sharing a small function with their derivatives
Uniqueness of meromorphic functions sharing one value.
Uniqueness of meromorphic functions sharing three values
We prove a result on the uniqueness of meromorphic functions sharing three values with weights and as a consequence of this result we improve a recent result of W. R. Lü and H. X. Yi.
Uniqueness of meromorphic functions sharing three weighted values.
Uniqueness of meromorphic functions sharing values.
Uniqueness of meromorphic functions when two differential polynomials share one value IM
Uniqueness of meromorphic functions when two linear differential polynomials share the same 1-points
We prove a uniqueness theorem for meromorphic functions involving linear differential polynomials generated by them. As consequences of the main result we improve some previous results.
Uniqueness of meromorphic functions when two non-linear differential polynomials share a small function
In the paper we deal with the uniqueness of meromorphic functions when two non-linear differential polynomials generated by two meromorphic functions share a small function.
Uniqueness of nonlinear differential polynomials sharing simple and double 1-points.
Uniqueness of -shift difference polynomials of meromorphic functions sharing a small function
We investigate the uniqueness of a -shift difference polynomial of meromorphic functions sharing a small function which extend the results of N. V. Thin (2017) to -difference operators.
Uniqueness of transcendental meromorphic functions with their nonlinear differential polynomials sharing the small function.
Uniqueness of two analytic functions sharing four values in an angular domain
We deal with the uniqueness problem for analytic functions sharing four distinct values in an angular domain and obtain some theorems which improve the result given by Cao and Yi [J. Math. Anal. Appl. 358 (2009)].
Uniqueness results for differential polynomials sharing a set
We investigate the uniqueness results of meromorphic functions if differential polynomials of the form and share a set counting multiplicities or ignoring multiplicities, where is a polynomial of one variable. We give suitable conditions on the degree of and on the number of zeros and the multiplicities of the zeros of . The results of the paper generalize some results due to T. T. H. An and N. V. Phuong (2017) and that of N. V. Phuong (2021).
Uniqueness results of meromorphic functions whose nonlinear differential polynomials have one nonzero pseudo value
Uniqueness theorems and normal families of entire functions and their derivatives
We use the theory of normal families to obtain some uniqueness theorems for entire functions, which improve and generalize the related results of Rubel and Yang, and Li and Yi. Some examples are provided to show the sharpness of our results.