Some results related to a conjecture of R. Brück concerning meromorphic functions sharing one small function with their derivatives

In this paper, we investigate uniqueness problems of meromorphic functions that share a small function with one of its derivatives, and give some results which are related to a conjecture of R. Bruck, and also answer some questions of Kit-Wing Yu.

[1]  Indrajit Lahiri,et al.  UNIQUENESS OF A MEROMORPHIC FUNCTION AND ITS DERIVATIVE , 2004 .

[2]  W. K. Hayman,et al.  On the characteristic of functions meromorphic in the unit disk and of their integrals , 1964 .

[3]  Yang Lian-zhong.  Entire functions that share finite values with their derivatives , 1990, Bulletin of the Australian Mathematical Society.

[4]  T. Broadbent.  Complex Variables , 1970, Nature.

[5]  Lipei Liu,et al.  Uniqueness of meromorphic functions that share one small function with their derivatives , 2004 .

[6]  Rainer Brück,et al.  On Entire Functions which Share One Value CM with their First Derivative , 1996 .

[7]  G. G. Gundersen.  Meromorphic functions that share nite values with their derivative , 1980 .

[8]  Lian-Zhong Yang,et al.  Solution of a differential equation and its applications , 1999 .

[9]  G. G. Gundersen,et al.  Entire functions that share one value with one or two of their derivatives , 1998 .

[10]  Chung-Chun Yang,et al.  Uniqueness Theory of Meromorphic Functions , 2004 .

[11]  Hongxun Yi.  Unicity theorems for entire or meromorphic functions , 1994 .

[12]  Qingcai Zhang,et al.  MEROMORPHIC FUNCTION THAT SHARES ONE SMALL FUNCTION WITH ITS DERIVATIVE , 2005 .

[13]  H. Yi.  Uniqueness of meromorphic functions and a question of c.c.yang , 1990 .

[14]  K. Shon,et al.  ON CONJECTURE OF R. BR\"{U}CK CONCERNING THE ENTIRE FUNCTION SHARING ONE VALUE CM WITH ITS DERIVATIVE , 2004 .

[15]  Kit-Wing Yu,et al.  ON ENTIRE AND MEROMORPHIC FUNCTIONS THAT SHARE SMALL FUNCTIONS WITH THEIR DERIVATIVES , 2003 .

[16]  C. C. Yang,et al.  A uniqueness theorem for meromorphic functions whosen-th derivatives share the same 1-points , 1994 .

[17]  L. Rubel,et al.  Values shared by an entire function and its derivative , 1977 .

[18]  L. Volkmann,et al.  Meromorphe funktionen, die mit ihrer ersten und zweiten ableitung einen endlichen wert teilen , 1986 .