THE UNIQUENESS FOR ALGEBROID FUNCTIONS OF FINITE ORDER

Yang TAN; Yinying KONG

doi:10.1007/s10473-020-0407-z

Acta mathematica scientia, Series B >

2020 , Vol. 40 >Issue 4: 981 - 990

DOI: https://doi.org/10.1007/s10473-020-0407-z

Articles

THE UNIQUENESS FOR ALGEBROID FUNCTIONS OF FINITE ORDER

Yang TAN ,
Yinying KONG

Expand

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 date: 2019-05-14

Revised date: 2019-10-14

Online published: 2020-08-21

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).

Fold

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

Cite this article

Yang TAN , Yinying KONG . THE UNIQUENESS FOR ALGEBROID FUNCTIONS OF FINITE ORDER[J]. Acta mathematica scientia, Series B, 2020 , 40(4) : 981 -990 . DOI: 10.1007/s10473-020-0407-z

References

[1] Hayman W K. Meromorphic Functions. Oxford:Oxford University Press, 1964
[2] He Yuzan. A uniqueness theorem of algebroid functions and systems of holomorphic functions. Pure Appl Math, 1985, 1:24-31
[3] He Yuzan, Xiao Xiuzhi. Algebroid Functions and Ordinary Differential Equations in the Complex Domain. Beijing:Science Press, 1988
[4] Sun Daochun, Gao Zongsheng. On the operations of algebroid functions. Acta Mathematica Scientia, 2010, 31B(1):247-256
[5] Ueda H. Unicity theorems for meromorphic or entire functions. Kodai Math, 1980, 3:457-471
[6] Xuan Zuxing, Gao Zongsheng. Uniqueness theorems for algebroid functions. Complex Var Elliptic Equ, 2006, 51(7):701-712
[7] Yang Lo. Value Distribution Theory. Beijing:Science Press, 1982
[8] Yi Hongxun. On the multiple values and uniqueness of algebroid functions. Chinese Journal of Engineering Mathematics, 1991, 8(4):1-8
[9] Yi Hongxun, Yang Chongjun. Uniqueness Theory of Meromorphic Function. Beijing:Science Press, 1995
[10] Zhang Pingyuan, Hu Peichu. On uniqueness for algebroid functions of finite order. Acta Mathematica Scientia, 2015, 35B(3):630-638

Options

Abstract

Outlines

模态框（Modal）标题

Abstract

Cite this article

References