Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (6): 1476-1482.

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Fixed Points of Meromorphic Functions and Their Differences

Zhaojun Wu()   

  1. School of Mathematics and Statistics, Hubei University of Science and Technology, Hubei Xianning 437100
  • Received:2018-07-04 Online:2019-12-26 Published:2019-12-28
  • Supported by:
    the Natural Science Foundation of Hubei Provincial Department of Education(D20182801)

Abstract:

Let f be a transcendental meromorphic function in the complex plane C, k is a positive integer, Δf=f(z+1)-f(z), Δk+1 fk f(z+1)-Δk f, k=1, 2, …. The author prove some results concerning the fixed points of the differences Δk f. The results obtained in this paper generalize some relative results.

Key words: Differences, Fixed point, Dificiency, Meromorphic function

CLC Number: 

  • O174.52
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