Acta mathematica scientia,Series B ›› 2020, Vol. 40 ›› Issue (4): 981-990.doi: 10.1007/s10473-020-0407-z

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THE UNIQUENESS FOR ALGEBROID FUNCTIONS OF FINITE ORDER

Yang TAN1, Yinying KONG2   

  1. 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).

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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

CLC Number: 

  • 30D30
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