高阶复线性差分方程的标准解

吉林大学学报(理学版) ›› 2025, Vol. 63 ›› Issue (2): 347-0352.

高阶复线性差分方程的标准解

常春龙, 马飞, 王师文, 张婧婕

贵州师范大学数学科学学院, 贵阳 550025

收稿日期:2024-05-10 出版日期:2025-03-26 发布日期:2025-03-26
通讯作者: 常春龙 E-mail:728490576@qq.com

Standard Solutions of Higher Order Complex Linear Difference Equations

CHANG Chunlong, MA Fei, WANG Shiwen, ZHANG Jingjie

School of Mathematical Sciences, Guizhou Normal University, Guiyang 550025, China

Received:2024-05-10 Online:2025-03-26 Published:2025-03-26

摘要/Abstract

摘要： 利用Nevanlinna理论的相关方法研究高阶复线性差分方程的标准解, 获得了当高阶复线性差分方程的系数和解满足某些条件时, 该方程的有穷级亚纯解是标准解.

关键词: 偏差值, 亏值, 增长级, 标准解, 线性差分方程

Abstract: By using the relevant methods of Nevanlinna theory, we studied the standard solution of higher order complex linear difference equations and obtained the finite order meromorphic solution of the equation was standard solutions when the coefficients and solutions of the higher order complex linear difference equations satisfied certain conditions.

Key words: deviated value, deficient value, order of growth, standard solution, linear difference equation

中图分类号:

O174.52

常春龙, 马飞, 王师文, 张婧婕. 高阶复线性差分方程的标准解[J]. 吉林大学学报(理学版), 2025, 63(2): 347-0352.

CHANG Chunlong, MA Fei, WANG Shiwen, ZHANG Jingjie. Standard Solutions of Higher Order Complex Linear Difference Equations[J]. Journal of Jilin University Science Edition, 2025, 63(2): 347-0352.

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