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亚纯函数及其导数在角域内的唯一性
引用本文:吴昭君,孙道椿.亚纯函数及其导数在角域内的唯一性[J].数学研究及应用,2009,29(5):889-894.
作者姓名:吴昭君  孙道椿
作者单位:咸宁学院数学系, 湖北 咸宁 437100;华南师范大学数学科学学院, 广东 广州 510631
基金项目:国家自然科学基金(No.10471048);咸宁学院自然科学基金(No.BK0714); 河北省教育厅科研项目(No.2009B2809).
摘    要:In this paper, applying the Nevanlinna theory of meromorphic function in one angular domain, we deal with a problem of uniqueness for meromorphic functions and their derivatives sharing three finite value ignoring multiplicities in an angular domain instead of the whole complex plane. Obtained results improve a recent result of Lin Weichuan and Seiki Mori.

关 键 词:亚纯函数  衍生物  角域  Nevanlinna理论  唯一性问题  有限值  多重性  复平面
收稿时间:2007/9/20 0:00:00
修稿时间:2008/3/10 0:00:00

On Uniqueness of Meromorphic Functions and Their Derivatives in One Angular Domain
WU Zhao Jun and SUN Dao Chun.On Uniqueness of Meromorphic Functions and Their Derivatives in One Angular Domain[J].Journal of Mathematical Research with Applications,2009,29(5):889-894.
Authors:WU Zhao Jun and SUN Dao Chun
Institution:Department of Mathematics, Xianning University, Hubei 437100, China;School of Mathematics, South China Normal University, Guangzhou 510631, China
Abstract:In this paper, applying the Nevanlinna theory of meromorphic function in one angular domain, we deal with a problem of uniqueness for meromorphic functions and their derivatives sharing three finite value ignoring multiplicities in an angular domain instead of the whole complex plane. Obtained results improve a recent result of Lin Weichuan and Seiki Mori.
Keywords:uniqueness of meromorphic function  derivative functions  angular domain  
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