Normal Families of Zero-Free Meromorphic Functions
Let 𝑎(≠0),𝑏∈ℂ, and 𝑛 and 𝑘 be two positive integers such that 𝑛≥2. Let ℱ be a family of zero-free meromorphic functions defined in a domain 𝒟 such that for each 𝑓∈ℱ, 𝑓+𝑎(𝑓(𝑘))𝑛−𝑏 has at most 𝑛𝑘 zeros, ignoring multiplicity. Then ℱ is normal in 𝒟....
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/908123 |
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| _version_ | 1832562680168185856 |
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| author | Yuntong Li |
| author_facet | Yuntong Li |
| author_sort | Yuntong Li |
| collection | DOAJ |
| description | Let 𝑎(≠0),𝑏∈ℂ, and 𝑛 and 𝑘 be two positive integers such that 𝑛≥2. Let
ℱ be a family of zero-free meromorphic functions defined in a domain 𝒟 such
that for each 𝑓∈ℱ, 𝑓+𝑎(𝑓(𝑘))𝑛−𝑏 has at most 𝑛𝑘 zeros, ignoring multiplicity.
Then ℱ is normal in 𝒟. |
| format | Article |
| id | doaj-art-8b7809b41eea43df9ec4c8036c61c8b6 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8b7809b41eea43df9ec4c8036c61c8b62025-02-03T01:22:03ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/908123908123Normal Families of Zero-Free Meromorphic FunctionsYuntong Li0Department of Basic Courses, Shaanxi Railway Institute, Weinan 714000, Shaanxi, ChinaLet 𝑎(≠0),𝑏∈ℂ, and 𝑛 and 𝑘 be two positive integers such that 𝑛≥2. Let ℱ be a family of zero-free meromorphic functions defined in a domain 𝒟 such that for each 𝑓∈ℱ, 𝑓+𝑎(𝑓(𝑘))𝑛−𝑏 has at most 𝑛𝑘 zeros, ignoring multiplicity. Then ℱ is normal in 𝒟.http://dx.doi.org/10.1155/2012/908123 |
| spellingShingle | Yuntong Li Normal Families of Zero-Free Meromorphic Functions Abstract and Applied Analysis |
| title | Normal Families of Zero-Free Meromorphic Functions |
| title_full | Normal Families of Zero-Free Meromorphic Functions |
| title_fullStr | Normal Families of Zero-Free Meromorphic Functions |
| title_full_unstemmed | Normal Families of Zero-Free Meromorphic Functions |
| title_short | Normal Families of Zero-Free Meromorphic Functions |
| title_sort | normal families of zero free meromorphic functions |
| url | http://dx.doi.org/10.1155/2012/908123 |
| work_keys_str_mv | AT yuntongli normalfamiliesofzerofreemeromorphicfunctions |