Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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The Infinite Hyper Order of Solutions of Differential Equation Related to Brück Conjecture

  • Zhang, Guowei (School of Mathematics and Statistics, Anyang Normal University) ;
  • Qi, Jianming (School of Business, Shanghai Dianji University)
  • Received : 2019.12.17
  • Accepted : 2020.05.18
  • Published : 2020.12.31
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Abstract

The Brück conjecture is still open for an entire function f with hyper order of no less than 1/2, which is not an integer. In this paper, it is proved that the hyper order of solutions of a linear complex differential equation that is related to the Brüuck Conjecture is infinite. The results show that the conjecture holds in a special case when the hyper order of f is 1/2.

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Acknowledgement

This work was supported by the Key Scientific Research Project for Higher Education Institutions of Henan Province, China (No. 18A110002) and Training Program for Young Backbone Teachers of Colleges and Universities in Henan Province, China (No. 2017GGJS126).

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