涉及微分多项式及例外函数的正规定则

doi:10.6040/j.issn.1671-9352.0.2023.445

《山东大学学报(理学版)》 ›› 2025, Vol. 60 ›› Issue (8): 78-85.doi: 10.6040/j.issn.1671-9352.0.2023.445

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涉及微分多项式及例外函数的正规定则

杨祺,陈鹏斌,龚翌晖

新疆师范大学数学科学学院, 新疆乌鲁木齐 830054

发布日期:2025-07-25
作者简介:杨祺(1979— ),女,教授,博士,研究方向为复分析. E-mail:yangqi_8138@126.com
基金资助:
国家自然科学基金资助项目(11961068);新疆维吾尔自治区自然科学基金资助项目(2024D01A91)

Normal criterion concerning differential polynomials and omitted functions

YANG Qi, CHEN Pengbin, GONG Yihui

School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830054, Xinjiang, China

Published:2025-07-25

摘要/Abstract

摘要： 利用Pang-Zalcman引理,研究关于例外函数和微分多项式的全纯函数正规定则。通过反证法,推广前人的结果,得到一个新的正规定则。

关键词: 全纯函数, 正规族, 微分多项式

Abstract: This paper studies the normal criterion of holomorphic functions involving exceptional functions and differential polynomials by using Pang-Zalcman lemma. A new normal criterion is obtained by extending the previous results through the method of proof by contradiction.

Key words: holomorphic functions, normal family, differential polynomials

中图分类号:

O174.5

杨祺,陈鹏斌,龚翌晖. 涉及微分多项式及例外函数的正规定则[J]. 《山东大学学报(理学版)》, 2025, 60(8): 78-85.

YANG Qi, CHEN Pengbin, GONG Yihui. Normal criterion concerning differential polynomials and omitted functions[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(8): 78-85.

参考文献

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涉及微分多项式及例外函数的正规定则

Normal criterion concerning differential polynomials and omitted functions

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