亚纯函数分担不动点的正规定则

doi:10.13371/j.cnki.chin.q.j.m.2015.01.003

数学季刊 ›› 2015, Vol. 30 ›› Issue (1): 20-29.doi: 10.13371/j.cnki.chin.q.j.m.2015.01.003

亚纯函数分担不动点的正规定则

School of Mathematical Sciences, Xinjiang Normal University

收稿日期:2014-01-09 出版日期:2015-03-30 发布日期:2020-11-24
作者简介:YANG Qi(1979-), female, native of Akesu, Xinjiang, a lecturer of Xinjiang Normal University, engages in teaching and studying of complex analysis.
基金资助:
Supported by the NSFC(11461070)；

Normality Criteria of Meromorphic Functions Concerning Shared Fixed-points

School of Mathematical Sciences, Xinjiang Normal University

Received:2014-01-09 Online:2015-03-30 Published:2020-11-24
About author:YANG Qi(1979-), female, native of Akesu, Xinjiang, a lecturer of Xinjiang Normal University, engages in teaching and studying of complex analysis.
Supported by:
Supported by the NSFC(11461070)；

摘要/Abstract

摘要： In this paper, we study the normality criteria of meromorphic functions concerning shared fixed-points, we obtain: Let F be a family of meromorphic functions defined in a domain D. Let n, k ≥ 2 be two positive integers. For every f ∈ F, all of whose zeros have multiplicity at least （nk+2）/（n-1）. If f（f^（k））ⁿand g（g^（k））ⁿshare z in D for each pair of functions f and g, then F is normal.

关键词: meromorphic function, fixed-points, shared value, normal criterion

Abstract: In this paper, we study the normality criteria of meromorphic functions concerning shared fixed-points, we obtain: Let F be a family of meromorphic functions defined in a domain D. Let n, k ≥ 2 be two positive integers. For every f ∈ F, all of whose zeros have multiplicity at least （nk+2）/（n-1）. If f（f^（k））ⁿand g（g^（k））ⁿshare z in D for each pair of functions f and g, then F is normal.

Key words: meromorphic function, fixed-points, shared value, normal criterion

中图分类号:

O174.52

杨祺. 亚纯函数分担不动点的正规定则[J]. 数学季刊, 2015, 30(1): 20-29.

YANG Qi. Normality Criteria of Meromorphic Functions Concerning Shared Fixed-points[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(1): 20-29.

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亚纯函数分担不动点的正规定则

Normality Criteria of Meromorphic Functions Concerning Shared Fixed-points

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