JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (6): 107-112.doi: 10.6040/j.issn.1671-9352.0.2022.540

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Entire solutions of differential-difference equation of Fermat type

Mingxin ZHAO(),Guirong SUN,Zhigang HUANG*()   

  1. School of Mathematics, Suzhou University of Science and Technology, Suzhou 215009, Jiangsu, China
  • Received:2022-10-19 Online:2023-06-20 Published:2023-05-23
  • Contact: Zhigang HUANG E-mail:zhaomingx06@163.com;hzg@mail.usts.edu.cn

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Abstract:

By using Nevanlinna value distribution theory, this paper investigates the existence of transcendental entire solution with finite order of Fermat type differential-difference equation, and obtains one result.

Key words: Fermat type equation, transcendental function, differential-difference equation, entire solution

CLC Number: 

  • O174.5
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[2] YANG Qi. Transcendental solutions of two types of systems of complex differential-difference equations [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(12): 25-33.
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