Acta mathematica scientia,Series B ›› 2015, Vol. 35 ›› Issue (3): 673-680.doi: 10.1016/S0252-9602(15)30012-6

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CHARACTERISTIC FUNCTION AND DEFICIENCY OF MEROMORPHIC FUNCTIONS IN THE PUNCTURED PLANE

Zhaojun WU1, Sheng'an CHEN1, Yuxian CHEN2   

  1. 1. School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, China;
    2. School of Mathematics and Computer Science, Xinyu University, Xinyu 338004, China
  • Received:2014-04-20 Revised:2014-10-01 Online:2015-05-01 Published:2015-05-01
  • Supported by:

    The first author is supported by the National Natural Science Foundation of China (11201395). The second author is supported by the Science Foundation of Educational Commission of Hubei Province (D20132804). The third author is supported by the Science Foundation of Jiangxi Province (20122BAB201006).

Abstract:

In this article, some facts of the value distribution theory for meromorphic functions with maximal deficiency sum in the plane will be considered in the punctured plane, and also the relationship between the deficiency of meromorphic function in the punctured plane and that of their derivatives is studied.

Key words: Meromorphic function, maximal deficiency sum, punctured plane

CLC Number: 

  • 30D30
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