费马q-差分微分方程整函数解的增长性研究（英文）  

THE GROWTH ON ENTIRE SOLUTIONS OF FERMAT TYPE Q-DIFFERENCE DIFFERENTIAL EQUATIONS

作　　者：刘新玲[1] 刘凯[1] LIU Xin-ling;LIU Kai(Department of Mathematics, Nanchang University, Nanchang 330031, China)

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《数学杂志》2017年第4期761-768,共8页Journal of Mathematics

基　　金：Supported by the NSFC(11301260;11101201);the NSF of Jiangxi(20132BAB211003);the YFED of Jiangxi(GJJ13078)

摘　　要：本文研究了费马q-差分微分方程的整函数解的相关问题.利用经典和差分的Nevanlinna理论和函数方程理论的研究方法,获得了q-差分微分方程整函数解增长性的几个结果.This paper is devoted to consider the entire solutions on Fermat type q-difference differential equations.Using the classical and difference Nevanlinna theory and functional equations theory,we obtain some results on the growth of the Fermat type q-difference differential equations.

关 键 词：q-差分微分方程 整函数解 有穷级 

分 类 号：O174.5[理学—数学]