[1]高凌云,刘曼莉.复合函数方程的超越亚纯解[J].江西师范大学学报(自然科学版),2016,40(06):587-590.
　GAO Lingyun,LIU Manli.The Transcendental Meromorphic Solutions of Composite Functional Equations[J].Journal of Jiangxi Normal University:Natural Science Edition,2016,40(06):587-590.
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复合函数方程的超越亚纯解()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
40
期数:
2016年06期
页码:
587-590
栏目:
出版日期:
2016-12-01

文章信息/Info

Title:
The Transcendental Meromorphic Solutions of Composite Functional Equations
作者:
高凌云; 刘曼莉
暨南大学数学系,广东 广州 510632
Author(s):
GAO Lingyun; LIU Manli
Department of Mathematics,Jinan University,Guangzhou Guangdong 510632,China
关键词:
复合函数方程;  超越亚纯解;  值分布理论
Keywords:
composite functional equations;  transcendental meromorphic solutions;  distribution theory
分类号:
O 174.52
摘要:
利用亚纯函数Nevanlinna值分布理论,研究了一类复合函数方程和一类复合函数方程组的超越亚纯解的性质问题,得到了2个有关复合函数方程和复合函数方程组当给予其系数的极点控制时,其解的特征估计和计数估计,将Silvennoinen的某些结果推广至更为复杂的复合函数方程和复合函数方程组中.举例表明定理中的条件是精确的.
Abstract:
Using the Nevanlinna theory of the value distribution of meromorphic functions,the problem of properties of transcendental solutions of(systems of )composite functional equations are investigated,and characteristic estimate and non-integrated counting estimate of solutions are obtained while restricting the number of the poles of the coefficients,a certain result of Silvennoinen concerning composite functional equations is extened to systems of composite functional equations.Examples show that our condition in Theorems are precise.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2016-09-06基金项目:国家自然科学基金(11271161)资助项目.作者简介:高凌云(1963-),男,湖北蕲春人,教授,博士,主要从事复分析与复微分方程的研究.
更新日期/Last Update: 1900-01-01