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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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