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Li, Xiao-Min,Yi, Hong-Xun Department of Mathematics 2008 Kyungpook mathematical journal Vol.48 No.3
In this paper, we deal with the problem of meromorphic functions that have three weighted sharing values, and obtain some uniqueness theorems which improve those given by N. Terglane, Hong-Xun Yi & Xiao-Min Li, and others. Some examples are provided to show that the results in this paper are best possible.
Uniqueness Theorems for Meromorphic Functions with Two Deficient Values
Hong-Xun Yi ...et al KYUNGPOOK UNIVERSITY 1999 Kyungpook mathematical journal Vol.39 No.1
This paper discusses the problem of uniqueness of meromorphic functions, ignoring value-points of high multiplicity. The authors prove that if f is a nonconstant meromorphic function with 4σ(0) +3(k+2)Θ(∞) > 3k+9, then f can be determined uniquely by either the sets E_(1))(a₁) and E_(1))(a₂) or E^((k))_(1))(b₁) and E^((k))_(1))(b₂), where a₁, a₂, b₁and b₂are finite nonzero complex numbers such that a²₁≠ a²₂and b²₁≠ b²₂. This improve some theorems given by K. L. Hiong, L. Yang, H. C. Xie, H. X. Yi and other authors. Examples are provided to show that the results in this paper are sharp.
Uniqueness of Meromorphic Functions and a Question of Gross
YI, HONG-XUN,LIN, WEI-CHUAN 대한수학회 2006 Kyungpook mathematical journal Vol.46 No.3
In this paper, we deal with the uniqueness of meromorphic functions concerning one question of Gross (see [5, Question 6]), and obtain some results that are improvements of that of former authors. Moreover, the example shows that the result is sharp.
Li Xun,Zhang Cheng-Cheng,Lin Xiao-Tong,Zhang Jie,Zhang Yu-Jun,Yu Hong-Qiang,Liu Ze-Yu,Gong Yi,Zhang Lei-Da,Xie Chuan-Ming 생화학분자생물학회 2024 Experimental and molecular medicine Vol.56 No.-
Dysregulation of wild-type p53 turnover is a key cause of hepatocellular carcinoma (HCC), yet its mechanism remains poorly understood. Here, we report that WD repeat and SOCS box containing protein 2 (WSB2), an E3 ubiquitin ligase, is an independent adverse prognostic factor in HCC patients. WSB2 drives HCC tumorigenesis and lung metastasis in vitro and in vivo. Mechanistically, WSB2 is a new p53 destabilizer that promotes K48-linked p53 polyubiquitination at the Lys291 and Lys292 sites in HCC cells, leading to p53 proteasomal degradation. Degradation of p53 causes IGFBP3-dependent AKT/mTOR signaling activation. Furthermore, WSB2 was found to bind to the p53 tetramerization domain via its SOCS box domain. Targeting mTOR with everolimus, an oral drug, significantly blocked WSB2-triggered HCC tumorigenesis and metastasis in vivo. In clinical samples, high expression of WSB2 was associated with low wild-type p53 expression and high p-mTOR expression. These findings demonstrate that WSB2 is overexpressed and degrades wild-type p53 and then activates the IGFBP3-AKT/mTOR axis, leading to HCC tumorigenesis and lung metastasis, which indicates that targeting mTOR could be a new therapeutic strategy for HCC patients with high WSB2 expression and wild-type p53.
Meromorphic functions sharing four values with their difference operators or shifts
Xiao-Min Li,Hong-Xun Yi 대한수학회 2016 대한수학회보 Vol.53 No.4
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 \cite{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.
MEROMORPHIC FUNCTIONS SHARING FOUR VALUES WITH THEIR DIFFERENCE OPERATORS OR SHIFTS
Li, Xiao-Min,Yi, Hong-Xun Korean Mathematical Society 2016 대한수학회보 Vol.53 No.4
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.
Meromorphic Functions with Three Weighted Sharing Values
Li, Xiao-Min,Yi, Hong-Xun Department of Mathematics 2008 Kyungpook mathematical journal Vol.48 No.4
In this paper, we prove some results on uniqueness of meromorphic functions with three weighted sharing values. The results in this paper improve those given by H. X. Yi, I. Lahiri, T. C. Alzahary and H. X. Yi and other authors.
Li, Xiao-Min,Yi, Hong-Xun Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.3
We prove a uniqueness theorem of entire functions sharing an entire function of smaller order with their linear differential polynomials. The results in this paper improve the corresponding results given by Gundersen-Yang[4], Chang-Zhu[3], and others. Some examples are provided to show that the results in this paper are best possible.
Xiao-Min Li,Hong-Xun Yi 경북대학교 자연과학대학 수학과 2004 Kyungpook mathematical journal Vol.44 No.3
This paper studies the problem of uniqueness of meromorphic functions which share the value zero with their first two derivatives, the result in this paper improves some theorems given by W. Saxer, W. K. Hayman, K. Tohge and other authors.
Some Further Results on Meromorphic Functions that Share Two Sets
Wei-Chuan Lin,Hong-Xun Yi 경북대학교 자연과학대학 수학과 2003 Kyungpook mathematical journal Vol.43 No.1
This paper deals with the problem of uniqueness of meromorphic functions that share two sets, and obtain one set S with n( 8) elements such that any two nonconstant meromorphic functions f and g satisfying Em )(S; f) = Em )(S; g),E(1 ; f) =E(1 ; g) and m 2;m+ n 11 must be identical.