On the General Structure of Unique Range Sets over a Non-Archimedean Field

被引：0

作者：

Mallick, Sanjay ^{[1
]}

机构：

[1] Cooch Behar Panchanan Barma Univ, Dept Math, Cooch Behar 736101, West Bengal, India

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2025年

关键词：

Non-Archimedean; Meromorphic function; Unique range set; MEROMORPHIC FUNCTIONS; BI-URS; POLYNOMIALS;

D O I：

10.1007/s40315-025-00580-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we provide a general characterisation of unique range sets for meromorphic functions over a non-Archimedean field under relaxed sharing hypothesis which extends, generalizes and improves all the existing results in this direction. In addition, in Section-5, by exhibiting a number of examples, for the first time in the literature, we confirm that our results also hold for non-critically injective polynomials as well as polynomials which are still not determined to be critically injective or non-critically injective.

引用

页数：25

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