• Kyungpook Mathematical Journal
• /
• v.47 no.1
• /
• pp.57-68
• /
• 2007

In this article, we investigate the problem of uniqueness of meromorphic functions sharing one set and having deficient values, and obtain a result which improves some earlier results.

• Bulletin of the Korean Mathematical Society
• /
• v.47 no.4
• /
• pp.751-765
• /
• 2010

In this paper, we deal with a uniqueness theorem of two nonconstant meromorphic functions that share three values and one pair of polynomials. The results in this paper improve those given by G. G. Gundersen, G. Brosch and other authors.

• Kyungpook Mathematical Journal
• /
• v.49 no.1
• /
• pp.15-29
• /
• 2009

Dealing with a question of gross, we prove some uniqueness theorems concerning meromorphic functions with the notion of weighted sharing of sets. Our results will not only improve and supplement respectively two results of Lahiri-Banerjee [9] and Qiu and Fang [13] but also improve a very recent result of the present author [1].

• Communications of the Korean Mathematical Society
• /
• v.38 no.2
• /
• pp.525-545
• /
• 2023

In the paper, we have exhaustively studied about the uniqueness of meromorphic function sharing two small functions with its k-th derivative as these types of results have never been studied earlier. We have obtained a series of results which will improve and extend some recent results of Banerjee-Maity [1].

• Journal of applied mathematics & informatics
• /
• v.41 no.4
• /
• pp.849-860
• /
• 2023

In this research article, we deal with the uniqueness of entire and meromorphic functions when two linear differential polynomial share a non-zero value and obtain some results.

• Communications of the Korean Mathematical Society
• /
• v.39 no.1
• /
• pp.105-116
• /
• 2024

In this paper, we prove a uniqueness theorem of non-constant meromorphic functions of hyper-order less than 1 sharing two values CM and two partial shared values IM with their shifts. Our result in this paper improves and extends the corresponding results from Chen-Lin [2], Charak-Korhonen-Kumar [1], Heittokangas-Korhonen-Laine-Rieppo-Zhang [9] and Li-Yi [12]. Some examples are provided to show that some assumptions of the main result of the paper are necessary.

• Communications of the Korean Mathematical Society
• /
• v.36 no.3
• /
• pp.515-526
• /
• 2021

The paper has been devoted to study the uniqueness problem of meromorphic function and its linear differential polynomial sharing two values. We have pointed out gaps in one of the theorem due to [1]. We have further extended the corrected form of Chen-Li-Li's result which in turn extend the an earlier result of [8] in a large extent. In fact, we have subtly use the notion of weighted sharing of values in this particular section of literature which was unexplored till now. A handful number of examples have been provided by us pertinent to different discussions. Specially we have given an example to show that one condition in a theorem can not be dropped.

• Kyungpook Mathematical Journal
• /
• v.50 no.3
• /
• pp.345-355
• /
• 2010

In this paper, we investigate uniqueness problems of meromorphic functions sharing a small function with their differential polynomials, and give some results which are related to a conjecture of R. Br$\"{u}$ck, and also improve several previous results.

• Kyungpook Mathematical Journal
• /
• v.49 no.4
• /
• pp.771-777
• /
• 2009

In this paper, we study the uniqueness problem on entire functions sharing fixed points and prove some theorems which are related to one famous problem of Hayman.

• Kyungpook Mathematical Journal
• /
• v.53 no.2
• /
• pp.191-205
• /
• 2013

We study the uniqueness of meromorphic functions concerning nonlinear differential polynomials sharing a nonzero polynomial IM. Though the main concern of the paper is to improve a recent result of the present author [12], as a consequence of the main result we also generalize two recent results of X. M. Li and L. Gao [11].