Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (2): 244-253.

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Uniqueness Theorem of Meromorphic Functions with Non-Integer

Luo Jie, Lin Weichuan   

  1. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007
  • Received:2015-09-11 Revised:2016-01-15 Online:2016-04-25 Published:2016-04-25
  • Supported by:

    Supported by the NSFC (11371225) and the Natural Science Foundation of Fujian Province (2011J01006)

Abstract:

In this paper, we discuss the problem of uniqueness of meromorphic functions and obtain that if two meromorphic functions with non-integer order that share a, b, c IM, and d is a generalized Picard exceptional value of them, then they are identically equal. In addition, we provide some examples to show that the conditions of our theorem are necessary.

Key words: Meromorphic function, Uniqueness, Non-integer order

CLC Number: 

  • O174.52
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