q-差分Painlevé方程亚纯解的增长级  

The order of growth of meromorphic solution for q-difference Painlevé equation

作　　者：彭长文 黄华伟 陶磊 邱克娥 石昌梅 PENG Changwen;HUANG Huawei;TAO Lei;QIU Kee;SHI Changmei(School of Mathematics and Big Data,Guizhou Education University,Guiyang 550018,China;School of Mathematics Sciences,Guizhou Normal University,Guiyang 550001,China)

机构地区：[1]贵州师范学院数学与大数据学院,贵州贵阳550018 [2]贵州师范大学数学科学学院,贵州贵阳550001

出　　处：《南昌大学学报（理科版）》2019年第5期409-412,共4页Journal of Nanchang University(Natural Science)

基　　金：贵州省科技计划项目(黔科合基础[2017]1136);贵州省教育厅自然科学研究项目(黔教合KY字(2015)422)

摘　　要：利用亚纯函数的Nevanlinna值分布理论的q-差分模拟,研究给定的q-差分Painlevé方程的超越亚纯解f(z)的增长性,并得到其亚纯解的增长级的估计:在给定条件下,其亚纯解f(z)的增长级满足σ(f)≥1。By applying q-difference analogue of Nevanlinna value distribution theory of meromorphic functions,the order of growth of transcendental meromorphic solution f(z) of certain q-difference Painlevé equation is investigated,and the estimate of the order of growth of the meromorphic solution f(z) satisfies σ(f)≥1 under the given conditions.

关 键 词：NEVANLINNA值分布理论 q-差分Painlevé方程 零点收敛指数 

分 类 号：O174.5[理学—数学]