潘勒韦IV型差分方程亚纯解唯一性
The Unicity of the Meromorphic Solutions of Painlevé IV Difference Equations
DOI: 10.12677/PM.2018.86080, PDF,    科研立项经费支持
作者: 张美娟：福建师范大学数学与信息学院，福建 福州；林珊华：泉州师范学院数学与计算机科学学院，福建 泉州
关键词: 复差分方程；亚纯解；唯一性；Complex Difference Equation； Meromorphic Solution； Unicity
摘要: 本文利用Nevanlinna理论讨论了潘勒韦IV型差分方程的有限级超越亚纯解与另一个亚纯函数分担三个公共值的唯一性问题。
Abstract: In this paper, we use Nevanlinna theory to discuss the unicity problems of the finite-order tran-scendental meromorphic solution of Painlevé IV difference equations with another meromorphic function that share three values.
文章引用：张美娟, 林珊华. 潘勒韦IV型差分方程亚纯解唯一性[J]. 理论数学, 2018, 8(6): 596-603. https://doi.org/10.12677/PM.2018.86080

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