Further Results about the Normal Family of Meromorphic Functions and Shared Sets | Zendy

Jianming Qi | Zendy; Guowei Zhang | Zendy; Lin-Lin Zhou | Zendy

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Further Results about the Normal Family of Meromorphic Functions and Shared Sets

Author(s) -

Jianming Qi,

Guowei Zhang,

Lin-Lin Zhou

Publication year - 2012

Publication title -

kyungpook mathematical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.287

H-Index - 19

eISSN - 1225-6951

pISSN - 0454-8124

DOI - 10.5666/kmj.2012.52.1.39

Subject(s) - meromorphic function , normal family , mathematics , multiplicity (mathematics) , polynomial , differential (mechanical device) , pure mathematics , domain (mathematical analysis) , set (abstract data type) , discrete mathematics , combinatorics , mathematical analysis , computer science , engineering , programming language , aerospace engineering

Let be a family of meromorphic functions in a domain D, and let , be two positive integers, and let , where , , , are distinct finite complex numbers. If for each , all zeros of have multiplicity at least , and share the set in , where is a differential polynomial of , then is normal in .

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