[1]张建军,李 晶.关于复差分方程和q-差分方程的一些结果[J].南京师大学报(自然科学版),2013,36(04):30.
　Zhang Jianjun,Li Jing.Some Results on Complex Difference and q-Difference Equations[J].Journal of Nanjing Normal University(Natural Science Edition),2013,36(04):30.
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关于复差分方程和q-差分方程的一些结果
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第36卷
期数:
2013年04期
页码:
30
栏目:
数学
出版日期:
2013-12-31

文章信息/Info

Title:
Some Results on Complex Difference and q-Difference Equations
作者:
张建军1; 李 晶2
(1.江苏第二师范学院数学与信息技术学院,江苏 南京 210013) (2.南京大学数学系,江苏 南京 210093)
Author(s):
Zhang Jianjun1; Li Jing2
(1.School of Mathematics and Information Technology,Jiangsu Second Normal University,Nanjing 210013,China) (2.Department of Mathematics,Nanjing University,Nanjing 210093,China)
关键词:
Wittich定理; 差分方程; 增长级; 亚纯函数
Keywords:
Wittich theorem; difference equations; growth order; meromorphic functions
分类号:
O174.5
文献标志码:
A
摘要:
本文主要证明了复差分方程和q-差分方程的Wittich定理,类似的结果首先出现在复微分方程中.同时本文还给出了q-差分方程的Malmquist型定理.
Abstract:
The main purpose of this paper is to prove difference and q-difference counterparts of the Wittich theorem from complex differential equations.We also give the q-difference analogue of Malmquist type theorem.

参考文献/References:

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[2]Chiang Y M,Feng S J.On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane[J].Ramanujan Journal,2008,16:105-129.
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[10]Elaydi S.An Introduction to Difference Equtions[M].3rd ed.New York:Springer-Verlag,2005.
[11]Zhang J J,Liao L W.Further extending results of some classes of complex difference and functional equations[J].Advances in Difference Equations,2010,ID404582:1-15.
[12]Mohon’ko A Z.The Nevanlinna characteristics of certain meromorphic functions[J].Teor Funktsiǐ Funktsional Anal i Prilozhen,1971,14:83-87(in Russian).
[13]Mokhon’ko A Z,Mokhon’ko V D.Estimates for the Nevanlinna characteristics of some classes of meromorphic functions and their applications to differential equations[J].Sibirskii Matematicheskii Zhurnal,1974,15:1 305-1 322(in Russian).
[14]Zhang J L,Korhonen R.On the Nevanlinna characteristic of f(qz) and its applications[J].J Math Anal Appl,2010,369:537-544.

相似文献/References:

[1]徐新萍,张建军.关于复差分方程Wittich定理的一个新证明（英文）[J].南京师大学报(自然科学版),2015,38(04):22.
　Xu Xinping,Zhang Jianjun.On a New Proof of Wittich Theorem ofComplex Difference Equations[J].Journal of Nanjing Normal University(Natural Science Edition),2015,38(04):22.

备注/Memo

备注/Memo:
Received data:2013-02-16. Foundation item:Supported by the National Natural Science Foundation of China(11271179),the Colonel-Level Topics of Jiangsu Second Normal University(Jsie2012zd01). Corresponding author:Zhang Jianjun,Ph.D,lecturer,majored in complex analysis.E-mail:zhangjianjun1982@163.com
更新日期/Last Update: 2013-12-30