Articles

ON FIXED POINTS OF MEROMORPHIC FUNCTIONS f(z) AND f(z + c),∆cf(z)

  • Shuangting LAN ,
  • Zongxuan CHEN
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  • 1. School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou 510665, China;
    2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Received date: 2018-05-16

  Revised date: 2018-08-07

  Online published: 2019-11-11

Supported by

The project was supported by the Natural Science Foundation of Guangdong Province in China (2016A030310106), the National Natural Science Foundation of China (11801110, 11771090, 11761035, 11871260), the Foundation of Guangzhou Civil Aviation College (17X0419).

Abstract

Let c be a nonzero constant and f(z) be a transcendental meromorphic function of finite order. Under some conditions, we study the relationships between the exponent of convergence of fixed points of f(z), its shift f(z +c) and forward differences ∆cn f(z), n ∈ N+.

Cite this article

Shuangting LAN , Zongxuan CHEN . ON FIXED POINTS OF MEROMORPHIC FUNCTIONS f(z) AND f(z + c),∆cf(z)[J]. Acta mathematica scientia, Series B, 2019 , 39(5) : 1277 -1289 . DOI: 10.1007/s10473-019-0507-9

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