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扇形和角形上的Nevanlinna类及其积分表示或分解原理
引用本文:龙品红,许世蒙,许传青.扇形和角形上的Nevanlinna类及其积分表示或分解原理[J].数学研究及应用,2010,30(5):808-816.
作者姓名:龙品红  许世蒙  许传青
作者单位:装甲兵工程学院基础部, 北京 100072;装甲兵工程学院基础部, 北京 100072;装甲兵工程学院基础部, 北京 100072; 韩山师范学院数学与信息技术系, 广东 潮州 521041
基金项目:国家自然科学基金 (Grant No.30800244).
摘    要:In this paper we give some sufficient conditions for analytic functions which are not identically zero and belong to Nevanlinna class in the sector and angular domain. Moreover, their integral expressions or factorization theorems are obtained.

关 键 词:Nevanlinna  class  integral  representation  factorization  theorem.
收稿时间:2008/7/14 0:00:00
修稿时间:2009/5/16 0:00:00

Nevanlinna Class and Its Integral Representation or Factorization Theorem in Sector and Angular Domain
Pin Hong LONG,Shi Meng XU and Chuan Qing XU.Nevanlinna Class and Its Integral Representation or Factorization Theorem in Sector and Angular Domain[J].Journal of Mathematical Research with Applications,2010,30(5):808-816.
Authors:Pin Hong LONG  Shi Meng XU and Chuan Qing XU
Institution:1. Department of Fundamental Courses,Academy of Armored Force Engineering,Beijing 100072,P.R.China
2. Department of Fundamental Courses,Academy of Armored Force Engineering,Beijing 100072,P.R.China;Department of Mathematics and Information Technology,Hanshan Normal University,Guangdong 521041,P.R.China
Abstract:In this paper we give some sufficient conditions for analytic functions which are not identically zero and belong to Nevanlinna class in the sector and angular domain. Moreover, their integral expressions or factorization theorems are obtained.
Keywords:Nevanlinna class  integral representation  factorization theorem  
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