Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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GENERALIZED YANG'S CONJECTURE ON THE PERIODICITY OF ENTIRE FUNCTIONS

  • Liu, Kai (Department of Mathematics Nanchang University) ;
  • Wei, Yuming (Department of Mathematics Nanchang University) ;
  • Yu, Peiyong (Department of Mathematics Nanchang University)
  • Received : 2019.10.23
  • Accepted : 2020.02.05
  • Published : 2020.09.30
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Abstract

On the periodicity of transcendental entire functions, Yang's Conjecture is proposed in [6, 13]. In the paper, we mainly consider and obtain partial results on a general version of Yang's Conjecture, namely, if f(z)nf(k)(z) is a periodic function, then f(z) is also a periodic function. We also prove that if f(z)n+f(k)(z) is a periodic function with additional assumptions, then f(z) is also a periodic function, where n, k are positive integers.

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References

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