Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (3): 593-609.doi: 10.1016/S0252-9602(14)60032-1

• Articles •     Next Articles

UNIQUENESS OF MEROMORPHIC FUNCTIONS WHOSE NONLINEAR DIFFERENTIAL POLYNOMIALS SHARE ONE VALUE OR HAVE THE SAME FIXED POINTS IN AN ANGULAR DOMAIN

 LI Xiao-Min*, YI Hong-Xun   

  1. Department of Mathematics, Ocean University of China, Qingdao 266100, China|Department of Physics and Mathematics, University of Eastern Finland P.O.Box 111, 80101 Joensuu, Finland; Department of Mathematics, Shandong University, Jinan 250100, China
  • Received:2009-08-24 Revised:2013-04-10 Online:2014-05-20 Published:2014-05-20
  • Contact: LI Xiao-Min,xmli01267@gmail.com E-mail:xmli01267@gmail.com;hxyi@sdu.edu.cn
  • Supported by:

    The first author and the second author are supported by the NSFC (11171184) and the NSF of Shandong Province, China (Z2008A01).

Abstract:

In this article, we study the uniqueness question of nonconstant meromorphic functions whose nonlinear differential polynomials share 1 or have the same fixed points in an angular domain. The results in this article improve Theorem 1 of Yang and Hua [26], and improve Theorem 1 of Fang and Qiu [6].

Key words: Meromorphic functions, shared values, singular directions, uniqueness theo-rems in the angular domain

CLC Number: 

  • 30D35
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