代数体函数与其导数的唯一性

数学物理学报 ›› 2014, Vol. 34 ›› Issue (5): 1296-1303.

代数体函数与其导数的唯一性

刘慧芳

江西师范大学数学与信息科学学院南昌 330022

收稿日期:2013-03-10 修回日期:2013-11-30 出版日期:2014-10-25 发布日期:2014-10-25
基金资助:
国家自然科学基金(11201195)、江西省自然科学基金(20122BAB201012, 20132BAB201008)和江西省教育厅科技项目(GJJ12179)资助

On the Uniqueness of Algebroid Functions and Their Derivatives

LIU Hui-Fang

College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022

Received:2013-03-10 Revised:2013-11-30 Online:2014-10-25 Published:2014-10-25
Supported by:
国家自然科学基金(11201195)、江西省自然科学基金(20122BAB201012, 20132BAB201008)和江西省教育厅科技项目(GJJ12179)资助

摘要/Abstract

摘要：

通过研究代数体函数的分担值和分支点之间的关系, 得到一个关于代数体函数与其导数具有公共值的唯一性定理, 将Gundersen和Mues-Steinmetz关于亚纯函数与其导数的一个唯一性定理推广到代数体函数.

关键词: 代数体函数, 函数元素, 分担值, 唯一性

Abstract:

In this paper, from considering the relationship between the shared values and the branch points of algebroid functions, we obtain some uniqueness theorem of algebroid functions sharing values with their derivatives, which extend some
shared value theorem of meromorphic functions and their derivatives obtained by Gundersen and Mues-Steinmetz.

Key words: Algebroid function, Function element, Shared value, Uniqueness

中图分类号:

32C20

刘慧芳. 代数体函数与其导数的唯一性[J]. 数学物理学报, 2014, 34(5): 1296-1303.

LIU Hui-Fang. On the Uniqueness of Algebroid Functions and Their Derivatives[J]. Acta mathematica scientia,Series A, 2014, 34(5): 1296-1303.

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