完备黎曼曲面上亚纯函数的唯一性
Uniqueness of Meromorphic Functions on Complete Riemann Surfaces
DOI: 10.12677/pm.2025.151022, PDF,   
作者: 曹 派：北京邮电大学理学院，北京
关键词: 黎曼曲面；亚纯函数；唯一性；值分布；Riemann Surface； Meromorphic Function； Uniqueness； Value Distribution
摘要: 在本文中，我们讨论了开黎曼曲面S上亚纯函数的分担唯一性问题。设为曲面S上的亚纯函数，和为曲面S上的完备共形度量，为曲面S上的全纯1-形式。如果对于扩充复平面中不同的点有，且，则有。
Abstract: In this paper, we discuss the uniqueness problem of meromorphic functions on an open Riemann surface. Let be meromorphic functions on the surface S, and and be two complete conformal metrics on the surface S, where are holomorphic 1-forms on the surface S. If there exists for different points in the expanded complex plane, and , then .
文章引用：曹派. 完备黎曼曲面上亚纯函数的唯一性[J]. 理论数学, 2025, 15(1): 190-197. https://doi.org/10.12677/pm.2025.151022

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