THE UNIQUENESS FOR ALGEBROID FUNCTIONS OF FINITE ORDER

doi:10.1007/s10473-020-0407-z

数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (4): 981-990.doi: 10.1007/s10473-020-0407-z

THE UNIQUENESS FOR ALGEBROID FUNCTIONS OF FINITE ORDER

谭洋¹, 孔荫莹²

1. School of Applied Mathematics, Beijing Normal University, Zhuhai 519085, China;
2. School of Statistics and Mathematics, Institute of Capital Market and Audit Governance Studies for the Great Bay Area(Guangdong, Hong-Kong, Macau), Guangdong University of Finance and Economics, Guangzhou 510320, China

收稿日期:2019-05-14 修回日期:2019-10-14 出版日期:2020-08-25 发布日期:2020-08-21
通讯作者: Yinying KONG E-mail:kongcoco@hotmail.com
作者简介:Yang TAN,E-mail:shutongtan@sina.com
基金资助:
The first author was supported by the Natural Science Foundation of China (11871108), Teacher Research Capacity Promotion Program of Beijing Normal University Zhuhai. The second author was supported by Guangdong Natural Science Foundation (2018A030313954), Guangdong Universities (Basic Research and Applied Research) Major Project (2017KZDXM038), Guangdong Provincical Anti-monopoly Law Enforcement and Big Data Analysis Research Center Project (2019D04).

THE UNIQUENESS FOR ALGEBROID FUNCTIONS OF FINITE ORDER

Yang TAN¹, Yinying KONG²

1. School of Applied Mathematics, Beijing Normal University, Zhuhai 519085, China;
2. School of Statistics and Mathematics, Institute of Capital Market and Audit Governance Studies for the Great Bay Area(Guangdong, Hong-Kong, Macau), Guangdong University of Finance and Economics, Guangzhou 510320, China

Received:2019-05-14 Revised:2019-10-14 Online:2020-08-25 Published:2020-08-21
Contact: Yinying KONG E-mail:kongcoco@hotmail.com
Supported by:
The first author was supported by the Natural Science Foundation of China (11871108), Teacher Research Capacity Promotion Program of Beijing Normal University Zhuhai. The second author was supported by Guangdong Natural Science Foundation (2018A030313954), Guangdong Universities (Basic Research and Applied Research) Major Project (2017KZDXM038), Guangdong Provincical Anti-monopoly Law Enforcement and Big Data Analysis Research Center Project (2019D04).

摘要/Abstract

摘要： In this article, we discuss, by Nevanlinna theory, the influence of multiple values and deficiencies on the uniqueness problem of algebroid functions. We get several uniqueness theorems of algebroid functions which include an at most 3v-valued theorem. These results extend the existing achievements of some scholars.

关键词: multiple values, deficiencies, order, uniqueness, algebroid functions

Abstract: In this article, we discuss, by Nevanlinna theory, the influence of multiple values and deficiencies on the uniqueness problem of algebroid functions. We get several uniqueness theorems of algebroid functions which include an at most 3v-valued theorem. These results extend the existing achievements of some scholars.

Key words: multiple values, deficiencies, order, uniqueness, algebroid functions

中图分类号:

30D30

谭洋, 孔荫莹. THE UNIQUENESS FOR ALGEBROID FUNCTIONS OF FINITE ORDER[J]. 数学物理学报(英文版), 2020, 40(4): 981-990.

Yang TAN, Yinying KONG. THE UNIQUENESS FOR ALGEBROID FUNCTIONS OF FINITE ORDER[J]. Acta mathematica scientia,Series B, 2020, 40(4): 981-990.

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THE UNIQUENESS FOR ALGEBROID FUNCTIONS OF FINITE ORDER

THE UNIQUENESS FOR ALGEBROID FUNCTIONS OF FINITE ORDER

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