Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (6): 1830-1840.doi: 10.1016/S0252-9602(17)30110-8

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PROPERTIES OF DIFFERENCE PAINLEVÉ IV EQUATIONS

Shuangting LAN1, Zongxuan CHEN2   

  1. 1. Department of Mathematics, Guangzhou Civil Aviation College, Guangzhou 510403, China;
    2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • Received:2016-05-28 Revised:2017-06-18 Online:2017-12-25 Published:2017-12-25
  • Supported by:

    The project was supported the Natural Science Foundation of Guangdong Province in China (2016A030310106, 2014A030313422), Training Plan Fund of Outstanding Young Teachers of Higher Learning Institutions of Guangdong Province of China (Yq20145084602).

Abstract:

In this paper, we investigate difference Painlevé IV equations, and obtain some results on Nevanlinna exceptional values of transcendental meromorphic solutions w(z) with finite order, their differences △w(z)=w(z + 1)-w(z) and divided differences ((△w(z))/(w(z))).

Key words: difference Painlevé, IV equation, Nevanlinna exceptional value, fixed point

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