QUASIPERIODICITY OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS*

doi:10.1007/s10473-024-0108-0

数学物理学报(英文版) ›› 2024, Vol. 44 ›› Issue (1): 161-172.doi: 10.1007/s10473-024-0108-0

QUASIPERIODICITY OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS^*

Xinling LIU^1,2, Kai Liu³, Risto Korhonen^4,†, Galina Filipuk⁵

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

收稿日期:2022-10-11 出版日期:2024-02-25 发布日期:2024-02-27
通讯作者: † Risto Korhonen, E-mail: risto.korhonen@uef.fi
作者简介: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
基金资助:
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"

QUASIPERIODICITY OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS^*

Xinling LIU^1,2, Kai Liu³, Risto Korhonen^4,†, Galina Filipuk⁵

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"

摘要/Abstract

摘要： 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.

关键词: quasiperiodicity, meromorphic functions, complex delay-differential polynomials, Nevanlinna theory

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

中图分类号:

30D35

Xinling LIU, Kai Liu, Risto Korhonen, Galina Filipuk. QUASIPERIODICITY OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS^*[J]. 数学物理学报(英文版), 2024, 44(1): 161-172.

Xinling LIU, Kai Liu, Risto Korhonen, Galina Filipuk. QUASIPERIODICITY OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS^*[J]. Acta mathematica scientia,Series B, 2024, 44(1): 161-172.

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QUASIPERIODICITY OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS^*

QUASIPERIODICITY OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS^*

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