Meromorphic functions sharing one value.
Linear differential polynomials sharing three values with finite weight.
Value distribution of a Wronskian.
A uniqueness result related to meromorphic functions sharing two sets.
Meromorphic functions sharing three values with finite weight
Using the idea of weighted sharing we prove some theorems on uniqueness of meromorphic functions that share three values, which improve and supplement some results of Yi. Also we solve a problem recently raised by the present author [Austral. J. Math. Anal. Appl. 3 (2006)]. Examples are provided to show that some results are sharp.
On uniqueness for nonlinear differential polynomials sharing the same 1-point
We study the uniqueness of meromorphic functions when two nonlinear differential polynomials generated by two meromorphic functions share the same 1-points. Our results improve results of Fang-Fang and Lin-Yi and supplement a recent result of Lahiri-Pal.
Some uniqueness results on meromorphic functions sharing three sets
We discuss the uniqueness of meromorphic functions when they share three sets with the notion of weighted sharing and improve two results of Lahiri-Banerjee and Yi-Lin. We also improve a recent result of the present author and thus provide an answer to a question of Gross, in a new direction.
Meromorphic functions sharing two sets
In the paper we discuss the uniqueness problem for meromorphic functions that share two sets and prove five theorems which improve and supplement some results earlier given by Yi and Yang [13], Lahiri and Banerjee [5].
On the uniqueness of meromorphic functions that share three sets
With the aid of the notion of weighted sharing and pseudo sharing of sets we prove three uniqueness results on meromorphic functions sharing three sets, all of which will improve a result of Lin-Yi in Complex Var. Theory Appl. (2003).
Uniqueness of meromorphic functions sharing a small function with their derivatives
Some Further Results on a Question of Yi
On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative
In the paper we discuss the uniqueness of the -th power of a meromorphic function sharing a small function with the power of its -th derivative and improve and supplement a result of Zhang-Lü [Complex Var. Elliptic Equ. 53 (2008), no. 9, 857–867]. We also rectify one recent result obtained by Chen and Zhang in [Kyungpook Math. J. 50 (2010), no. 1, 71–80] dealing with a question posed by T.D. Zhang and W.R. Lü in [Complex Var. Elliptic Equ. 53 (2008), no. 9, 857–867].
Further investigations on a question of Zhang and Lü
In the paper based on the question of Zhang and Lü [15], we present one theorem which will improve and extend results of Banerjee-Majumder [2] and a recent result of Li-Huang [9].
Nonlinear differential polynomials sharing a small function
Dealing with a question of Lahiri [6] we study the uniqueness problem of meromorphic functions concerning two nonlinear differential polynomials sharing a small function. Our results will not only improve and supplement the results of Lin-Yi [16], Lahiri Sarkar [12] but also improve and supplement a very recent result of the first author [1].
Corrigendum to “Nonlinear differential polynomials sharing a small function” [Arch. Math. 44 (2008), 41–56]
Uniqueness and two shared set problems of meromorphic functions in a different angle
The purpose of the paper is to represent the two shared set problems in an elaborative and convenient manner. In the main result of the paper, we have exhaustively treated the two shared set problem on the open complex plane. As a consequence of the main result, we have investigated the same problem in a different perspective, which has yet not been studied. Further, two examples have been exhibited in the paper to show the sharpness of some of these results.
On Uniqueness of Meromorphic Functions Sharing Three Sets with Finite Weights
We prove the uniqueness of meromorphic functions sharing some three sets with finite weights.
Meromorphic Function Sharinga Small Function with its Differential Polynomial
In this paper we improve, generalize and extend a number of recent results related to a problem of meromorphic function sharing a small function with its differential polynomial which are the continuation of a result earlier obtained by R. Brück.
Nonlinear differential polynomials sharing a non-zero polynomial with finite weight
In the paper, dealing with a question of Lahiri (1999), we study the uniqueness of meromorphic functions in the case when two certain types of nonlinear differential polynomials, which are the derivatives of some typical linear expression, namely (), share a non-zero polynomial with finite weight. The results obtained in the paper improve, extend, supplement and generalize some recent results due to Sahoo (2013), Li and Gao (2010). In particular, we have shown that under a suitable choice of...
Some uniqueness results on meromorphic functions sharing two or three sets
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