On a conjecture of L\"u, Li and Yang

In connection to a conjecture of W. L\"u. Q. Li and C. Yang we prove a result on small function sharing by a power of a meromorphic function with few poles and its derivative. Our results improve a number of known results.

[1]  S. Majumder.  A RESULT ON A CONJECTURE OF W. LÜ, Q. LI AND C. YANG , 2016 .

[2]  T. Cao.  ON THE BRÜCK CONJECTURE , 2015, Bulletin of the Australian Mathematical Society.

[3]  Chungchun Yang,et al.  ON THE TRANSCENDENTAL ENTIRE SOLUTIONS OF A CLASS OF DIFFERENTIAL EQUATIONS , 2014 .

[4]  Hongxun Yi,et al.  THE BRÜCK CONJECTURE AND ENTIRE FUNCTIONS SHARING POLYNOMIALS WITH THEIR κ-TH DERIVATIVES , 2011 .

[5]  Ji-Long Zhang,et al.  A power of an entire function sharing one value with its derivative , 2010, Comput. Math. Appl..

[6]  Jilong Zhang.  Meromorphic Functions Sharing a Small Function with Their Derivatives , 2009 .

[7]  Jilong Zhang,et al.  A POWER OF A MEROMORPHIC FUNCTION SHARING A SMALL FUNCTION WITH ITS DERIVATIVE , 2009 .

[8]  Jilong Zhang,et al.  Non-existence of meromorphic solutions of a Fermat type functional equation , 2008 .

[9]  Wei-Chuan Lin,et al.  Uniqueness of meromorphic functions concerning weakly weighted-sharing , 2006 .

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

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

[12]  Indrajit Lahiri,et al.  Weighted value sharing and uniqueness of meromorphic functions , 2001 .

[13]  I. Lahiri.  Weighted sharing and uniqueness of meromorphic functions , 2001, Nagoya Mathematical Journal.

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

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

[16]  Günter Frank,et al.  Eine Vermutung von Hayman über Nullstellen meromorpher Funktionen , 1976 .

[17]  J. Clunie.  On Integral and Meromorphic Functions , 1962 .

[18]  Shizuo Kakutani,et al.  On Meromorphic Functions. I , 1935 .