一类整函数系数或亚纯函数系数的复线性差分方程亚纯解的增长性（英文）  

Growth of Meromorphic Solutions of Some Kind of Complex Linear Difference Equation with Entire or Meromorphic Coefficients

作　　者：罗丽琴[1] 郑秀敏[1] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《应用数学》2016年第4期723-730,共8页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11301233);the Natural Science Foundation of Jiangxi province in China(20151BAB201004)

摘　　要：本文研究一类整函数系数或亚纯函数系数的复线性差分方程A_n(z)f(z+c_n)+···+A_1(z)f(z+c_1)+A_0(z)f(z)=0亚纯解的增长性,通过比较系数的(下)级和(下)型得到上述方程亚纯解的级的下界.In this paper, we investigate the growth of meromorphic solutions of complex linear difference equation A n（z）f（z＋c n）＋…＋A1（z）f（z＋c1）＋A0（z）f（z）=0 with entire or meromorphic coefficients, and obtain the lower bound of the order of meromorphic solutions of the above equation by comparing the （lower） orders or the （lower） types of the coefficients.

关 键 词：复线性差分方程 (下)级 (下)型 

分 类 号：O174.52[理学—数学]