• Kyungpook Mathematical Journal
• /
• v.51 no.2
• /
• pp.145-164
• /
• 2011

In the paper, we study with weighted sharing method the uniqueness of entire functions concerning nonlinear differential polynomials sharing one value and prove two uniqueness theorems, first one of which generalizes some recent results in [10] and [16]. Our second theorem will supplement a result in [17].

• Kyungpook Mathematical Journal
• /
• v.50 no.3
• /
• pp.357-370
• /
• 2010

We prove some uniqueness theorems of meromorphic functions sharing three values which improves some results of Banerjee.

• Journal of applied mathematics & informatics
• /
• v.35 no.5_6
• /
• pp.529-542
• /
• 2017

In this paper, using the notion of weakly weighted sharing and relaxed weighted sharing, we investigate the uniqueness problems of certain differential polynomials sharing a small function. The results obtained in this paper extend the theorem obtained by Jianren Long [9].

• Bulletin of the Korean Mathematical Society
• /
• v.35 no.2
• /
• pp.375-385
• /
• 1998

We prove a uniqueness theorom for meromrphic functions which share the same 1-points.

• Kyungpook Mathematical Journal
• /
• v.46 no.1
• /
• pp.79-87
• /
• 2006

Using the notion of weighted sharing of sets we improve two results of H. X. Yi on uniqueness of meromorphic functions.

• Kyungpook Mathematical Journal
• /
• v.54 no.4
• /
• pp.511-519
• /
• 2014

In this paper, we prove two uniqueness theorem on meromorphic functions sharing one value which generalize a recent result of R. S. Dyavanal [2], and on the other hand, we relax the nature of sharing value from CM to IM.

• Kyungpook Mathematical Journal
• /
• v.49 no.4
• /
• pp.675-682
• /
• 2009

In this paper, we study the uniqueness problems on entire functions sharing one value. We improve and generalize some previous results of Zhang and Lin [11]. On the one hand, we consider the case for some more general differential polynomials $[f^nP(f)]^{(k)}$ where $P({\omega})$ is a polynomial; on the other hand, we relax the nature of sharing value from CM to IM.

• The Pure and Applied Mathematics
• /
• v.29 no.1
• /
• pp.37-50
• /
• 2022

The purpose of the paper is to study the uniqueness problems of certain type of difference polynomials sharing a small function. With the concept of weakly weighted sharing and relaxed weighted sharing we obtain some results which extend and generalize some results due to P. Sahoo and G. Biswas [Tamkang Journal of Mathematics, 49(2)(2018), 85-97].

• Journal of applied mathematics & informatics
• /
• v.42 no.3
• /
• pp.549-565
• /
• 2024

In this paper, we investigate the uniqueness of linear difference differential polynomials sharing a small function. By using the concepts of weakly weighted and relaxed weighted sharing of transcendental entire functions with finite order, we obtained the corresponding results, which improve and extend some results of Chao Meng [14].

• Bulletin of the Korean Mathematical Society
• /
• v.53 no.4
• /
• pp.1213-1235
• /
• 2016

We prove a uniqueness theorem of nonconstant meromorphic functions sharing three distinct values IM and a fourth value CM with their shifts, and prove a uniqueness theorem of nonconstant entire functions sharing two distinct small functions IM with their shifts, which respectively improve Corollary 3.3(a) and Corollary 2.2(a) from [12], where the meromorphic functions and the entire functions are of hyper order less than 1. An example is provided to show that the above results are the best possible. We also prove two uniqueness theorems of nonconstant meromorphic functions sharing four distinct values with their difference operators.