[1]吴佳,吴芬,陈裕先.向量值亚纯函数的亏量[J].江西师范大学学报(自然科学版),2013,(03):229-232.
　WU Jia,WU fen,CHEN Yu-xian.Deficiency of Vector Valued Meromorphic Function[J].Journal of Jiangxi Normal University:Natural Science Edition,2013,(03):229-232.
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向量值亚纯函数的亏量()
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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:
期数:
2013年03期
页码:
229-232
栏目:
出版日期:
2013-05-01

文章信息/Info

Title:
Deficiency of Vector Valued Meromorphic Function
作者:
吴佳;吴芬;陈裕先
咸宁职业技术学院,湖北咸宁,437100；华南师范大学数学科学学院,广东广州,510631；新余学院数学与计算机科学学院,江西新余,338004
Author(s):
WU Jia；WU fen；CHEN Yu-xian
关键词:
亚纯函数; Nevanlinna基本定理; 亏量关系; 亏量
Keywords:
meromorphic function; Nevanlinna basic theorem; deficient relation; deficient number
分类号:
O174.52
文献标志码:
A
摘要:
利用从复平面C到无限维Hilbert空间E的无限维向量值亚纯函数的Nevanlinna基本理论,对无限维向量值亚纯函数的亏量进行了研究,建立了无限维向量值亚纯函数的亏量和与导函数零点的亏量之间的关系,所得结论推广了关于有限维向量值亚纯函数的相关结果.
Abstract:
The Nevanlinna theory of infinite dimensional vector-valued meromorphic functions from the complex plane C to infinite dimensional Hilbert space E is introduced,and the deficiency of infinite dimensional vector-valued meromorphic functions is studied.The relation between the deficiency sum of infinite dimensional vector-valued meromorphic functions and that of the deficiency of zero point of derivative functions is established.The results about finite dimensional vector-valued meromorphic functions have been extended.

参考文献/References:

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备注/Memo

备注/Memo:
国家自然科学基金(11201395)；江西省自然科学基金(20122BAB201006)
更新日期/Last Update: 1900-01-01