一类特殊亚纯函数的唯一性
Unique Range Sets for a Kind of Special Meromorphic Functions
DOI: 10.12677/PM.2021.111003, PDF,   
作者: 谭 艳：云南师范大学数学学院，云南 昆明
关键词: 亚纯函数；CM分担值集；唯一性；Meromorphic Function； CM Shared Set； Uniqueness
摘要: 在亚纯函数唯一性研究方面，一个未彻底解决的问题就是：关于亚纯函数CM型唯一性象集的最小基数到底是多少。本文对该问题作了进一步研究，证明了：在附加一定限制条件的一类特殊亚纯函数的唯一性象集的基数可以是5或4。
Abstract: In the study of uniqueness of meromorphic functions, an unsolved problem is: what is the minimum cardinality of CM-type unique image set of meromorphic functions? In this paper, the problem of modification is further studied, and it is proved that the cardinality of the unique image set of a special meromorphic function can be 5 or 4 under certain restrictions.
文章引用：谭艳. 一类特殊亚纯函数的唯一性[J]. 理论数学, 2021, 11(1): 16-21. https://doi.org/10.12677/PM.2021.111003

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