一类复微分—差分方程的有限级整函数解  

Entire Solutions with Finite Order of a Type of Complex Differential-Difference Equations

作　　者：刘登峰 潘飚[1] LIU Deng-feng;PAN Biao(School of Mathematics and Statistics,Fujian Normal University,Fuzhou 350117,China)

机构地区：[1]福建师范大学数学与统计学院,福建福州350117

出　　处：《南宁师范大学学报（自然科学版）》2022年第4期1-9,共9页Journal of Nanning Normal University：Natural Science Edition

基　　金：国家自然科学基金(11801291);福建省自然科学基金(2020R0039,2019J05047,2019J01672)。

摘　　要：利用Nevanlinna值分布理论和复微分方程理论研究了复微分—差分方程w^((n))(z)^(2)+[αw(qz+c)-βw(z)]^(2)=1,得到了该方程的有限级整数函数解的存在性及其具体形式.所得结论推广了方明亮和刘凯等人的结果.In this paper we investigate the complex differential-difference equation w^((n))(z)^(2)+[αw(qz+c)-βw(z)]^(2)=1 by Nevanlinna theory of value distribution and the theory of complex differential equations.We prove the existence of entire solutions with finite order of this equation,and illustrate the concrete forms of the solutions.Our results extend the previous results given by Fang Mingliang and Liu Kai et al.

关 键 词：复微分—差分方程 整函数 有限级 

分 类 号：O174.52[理学—数学]