In this paper, making use of the value distribution theory for meromorphic functions in several complex variables and its difference analogues, we mainly consider the uniqueness problem for meromorphic functions in several complex variables sharing values or small functions with their shifts or difference operators, and weaken the condition of growth of hyper-order of meromorphic functions, which generalize the corresponding results of one complex variable.

中文翻译：

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亚纯函数的唯一性定理及其在几个复变量中的差异

在本文中，利用几个复杂变量的亚纯函数及其差分类似物的值分布理论，我们主要考虑了多个复杂变量的亚纯函数的唯一性问题，这些变量与它们的移位或差分算子共享值或小函数，并弱化了它们。亚纯函数高阶增长的条件，它概括了一个复杂变量的相应结果。