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PDF(454 KB)
PDF(454 KB)
多复变Pang-Zalcman引理及应用
Pang-Zalcman Lemma of Several Complex Variables and Its Applications
单复变中的Pang-Zalcman引理是研究亚纯函数正规族问题的重要工具.本文将该引理推广至多复变全纯函数的情形.作为应用建立了多复变全纯函数族的正规定则，改进和推广了相关结果.
The Pang-Zalcman lemma is an important tool to study normal families of meromorphic functions. In this paper, we extend Pang-Zalcman lemma to the case of holomorphic functions of several complex variables and establish some normality criteria as applications.
正规族 / 多复变全纯函数 / 球面导数 {{custom_keyword}} /
normal family / holomorphic functions of several complex variables / spherical derivative {{custom_keyword}} /
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国家自然科学基金资助项目（11701006，11871216）；安徽省自然科学基金资助项目（1808085QA02）
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