Hong-Xun Yi

Bio: Hong-Xun Yi is an academic researcher from Shandong University. The author has contributed to research in topics: Meromorphic function & Uniqueness. The author has an hindex of 14, co-authored 68 publications receiving 767 citations.

Meromorphic functions that share one or two values

Abstract: In this paper, we deal with the problem of uniqueness of meromorphic functions that share one or two values and obtain some results that are improvements of that of M. Ozawa, H. Ueda, G. Brosch, H. X. Yi and other authors. An example is provided to show that our results are sharp.

Uniqueness of Meromorphic Functions and a Question of Gross

Abstract: . In this paper, we deal with the uniqueness of meromorphic functions con-cerning one question of Gross (see [5, Question 6]), and obtain some results that areimprovements of that of former authors. Moreover, the example shows that the result issharp. 1. Introduction and main resultsIn this paper, the term \meromorphic" will always mean meromorphic in thecomplex plane C. We assume that the reader is familiar with the basic results andnotations of Nevanlinna's value distribution theory (see [6]), such as T (r;f ), N (r;f )and m (r;f ). Meanwhile, we need the following notations. Let f (z) be a meromor-phic function. We denote by n 1) (r;f ) the number of simple poles of f in jzj · r,N 1) (r;f ) is de¯ned in terms of n 1) (r;f ) in the usual way (see [19]). We furtherde¯ne± 1) (1 ; f ) = 1 i limsup r !1 N 1) (r;f )T (r;f ):By the de¯nition of N 1) (r;f ), we haveN 1) (r;f ) · N (r;f ) ·12N 1) (r;f )+12N (r;f ) ·12N 1) (r;f )+12T (r;f ):From this we obtain(1)12± 1) (1 ;f ) ·12±

Unicity theorems for meromorphic or entire functions III

Abstract: This paper studies the unique range set of meromorphic functions and shows that the set S = {w | w13 + w11 + 1 = 0} is unique range set of meromorphic functions with 13 elements.

Weighted value sharing and uniqueness of meromorphic functions

Abstract: With the and of the notion of weighted sharing we prove some uniqueness theorems of meromorphic functions which improve some earlier results

A unique range set for meromorphic functions with 11 elements

Abstract: We show that there exists a set S with 11 elements such that the condition Ef (S)=Eg (S) implies f=f for any pair of non-constant meromorphic functions f and g. For the prwf we generalise an estimate of Yi and Mues/Reinders on meromorphic functions sharing one value.

Value distribution of certain differential polynomials

Abstract: We prove a result on the value distribution of differential polynomials which improves some earlier results.

Meromorphic functions sharing one value

Abstract: We discuss the uniqueness problem of meromorphic functions sharing one value and obtain two theorems which improve a result of Xu and Qu and supplement some other results earlier given by Yang, Hua, and Lahiri.