[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].南京师范大学学报(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.
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关于复差分方程Wittich定理的一个新证明(英文)()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第38卷
期数:
2015年04期
页码:
22
栏目:
数学
出版日期:
2015-12-30

文章信息/Info

Title:
On a New Proof of Wittich Theorem ofComplex Difference Equations
作者:
徐新萍张建军
江苏第二师范学院数学与信息技术学院,江苏 南京 210013
Author(s):
Xu XinpingZhang Jianjun
School of Mathematics and Information Technology,Jiangsu Second Normal University,Nanjing 210013,China
关键词:
Wittich定理差分方程增长级亚纯函数
Keywords:
Wittich theoremdifference equationsgrowth orderMeromorphic functions
分类号:
O174.5
文献标志码:
A
摘要:
本文不依赖于Laine I和Yang C C[1]在2007年获得的一个结果,给出了复差分方程Wittich定理的一个新证明.
Abstract:
The main purpose of this paper is to give a new proof of Wittich theorem of complex difference equations,which don’t depend on the result obtained by Laine I and Yang C C[1]in 2007.

参考文献/References:

[1]CHERRY W,YE Z. Nevanlinna’s theory of value distribution[M]. Berlin:Springer-Verlag,2001.
[2]HAYMAN W K. Meromorphic functions[M]. Oxford:Clarendon Press,1964.
[3]LAINE I. Nevanlinna theory and complex differential equations[M]. Berlin:Walter de Gruyter,1993.
[4]ZHANG J J,LI J. Some results on complex difference and [q]-difference equations[J]. Journal of nanjing normal university(natural science edition),2013,36:30-35.
[5]LAINE I,YANG C C. Clunie theorems for difference and [q]-difference polynomials[J]. J London Math Soc,2007,76:556-566.
[6]ISHIZAKI K. On a conjecture of Gackstatter and Laine for some differential equations[J]. Proc Japan Acad,1991,67:270-273.
[7]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.
[8]HALBURD R G,KORHONEN R J. Difference analogue of the lemma on the logarithmic derivative with applications to difference equations[J]. J Math Anal Appl,2006,314:477-487.

相似文献/References:

[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].南京师范大学学报(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.

备注/Memo

备注/Memo:
Received data:2014-10-12.
Foundation item:Supported by the NSFC(11426118、11171160),Natural Science Foundation of Jiangsu Province((BK20140767),Natural Science Foundation of the Jiangsu Higher Education Institutions(14KJB110004),Qing Lan Project of Jiangsu Province and Colonel-level Topics(JSNU-ZY-01).
Corresponding author:Zhang Jianjun,Ph. D,associate professor,majored in complex analysis. E-mail:zhangjianjun1982@163.com
更新日期/Last Update: 2015-12-30