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<p>We obtain a Picard-type theorem for holomorphic curves. By introducing a derivative that extends the spherical derivative of meromorphic functions, we obtain an extension of Marty's Theorem and the Zalcman-Pang Lemma to a family of holomorphic curves. Finally, as an application of these results, we obtain a normality criterion for a family of holomorphic curves whose derived curves satisfy certain conditions.</p>

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Zalcman-Pang lemma for holomorphic curves in \(\mathbb{P}^N(\mathbb{C})\)

  • 期刊论文

  • 发表日期：

    2026年3月12日

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  • S. Mehta,
  • K. S. Charak

摘要

We obtain a Picard-type theorem for holomorphic curves. By introducing a derivative that extends the spherical derivative of meromorphic functions, we obtain an extension of Marty's Theorem and the Zalcman-Pang Lemma to a family of holomorphic curves. Finally, as an application of these results, we obtain a normality criterion for a family of holomorphic curves whose derived curves satisfy certain conditions.