meromorphic functions;
holomorphic functions;
shared values;
normal families;
D O I:
10.4134/CKMS.c170282
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this article, we prove some normality criteria for a family of meromorphic functions having zeros with some multiplicity. Our main result involves sharing of a holomorphic function by certain differential polynomials. Our results generalize some of the results of Fang and Zalcman [4] and Chen et al. [2] to a great extent.
机构:
Fujian Normal Univ, Dept Math, Fuzhou 350117, Fujian Province, Peoples R ChinaFujian Normal Univ, Dept Math, Fuzhou 350117, Fujian Province, Peoples R China
机构:
Xinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R ChinaXinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R China
Chen, Wei
Yang, Qi
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机构:
Xinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R ChinaXinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R China
Yang, Qi
Yuan, Wen-jun
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机构:
Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R ChinaXinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R China
Yuan, Wen-jun
Tian, Hong-gen
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机构:
Xinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R ChinaXinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R China