Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (2): 209-214.

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On Zeros and Periodicity of Entire Functions

Wang Qiong, Hu Peichu   

  1. Department of Mathematics, Shandong University, Jinan 250100
  • Received:2017-02-22 Revised:2017-09-02 Online:2018-04-26 Published:2018-04-26
  • Supported by:
    Supported by the NSFC (11461070, 11271090) and the PCSIRT (IRT1264)

Abstract: In this paper, we show that if f is a transcendental entire function such that (f2)(k) is periodic for a positive integer k, then f is also periodic. The result is related to a conjecture raised recently by Yang C C.

Key words: Entire functions, Zeros, Periodicity

CLC Number: 

  • O174.52
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