Acta mathematica scientia,Series B ›› 2024, Vol. 44 ›› Issue (1): 161-172.doi: 10.1007/s10473-024-0108-0

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QUASIPERIODICITY OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS*

Xinling LIU1,2, Kai Liu3, Risto Korhonen4,†, Galina Filipuk5   

  1. 1. Department of Mathematics, Nanchang University, Nanchang 330031, China;
    2. Department of Physics and Mathematics, University of Eastern Finland, P. O. Box 111, 80101, Joensuu, Finland;
    3. Department of Mathematics, Nanchang University, Nanchang 330031, China;
    4. Department of Physics and Mathematics, University of Eastern Finland, P. O. Box 111, 80101, Joensuu, Finland;
    5. Institute of Mathematics, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2,02-097, Warsaw, Poland
  • Received:2022-10-11 Online:2024-02-25 Published:2024-02-27
  • Contact: † Risto Korhonen, E-mail: risto.korhonen@uef.fi
  • About author:Xinling LIU, E-mail: liuxinling@ncu.edu.cn; Kai Liu, E-mail: liukai@ncu.edu.cn; Galina Filipuk, E-mail: G.filipuk@uw.edu.pl
  • Supported by:
    The first author and the second author's researches were partially supported by the NSFC (12061042) and the NSF of Jiangxi (20202BAB201003). GF acknowledges the support of the National Science Center (Poland) via grant 2017/25/B/ST1/00931. The work of the GF was also partially supported by the Project PID2021-124472NB-I00 funded by MCIN/AEI/10.13039/501100011033 and by "EFDF A way of making Europe"

Abstract: This paper is devoted to considering the quasiperiodicity of complex differential polynomials, complex difference polynomials and complex delay-differential polynomials of certain types, and to studying the similarities and differences of quasiperiodicity compared to the corresponding properties of periodicity.

Key words: quasiperiodicity, meromorphic functions, complex delay-differential polynomials, Nevanlinna theory

CLC Number: 

  • 30D35
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