Composite Holomorphic Functions and Normal Families
We study the normality of families of holomorphic functions. We prove the following result. Let α(z), ai(z), i=1,2,…,p, be holomorphic functions and F a family of holomorphic functions in a domain D, P(z,w):=(w-a1(z))(w-a2(z))⋯(w-ap(z)), p≥2. If Pw∘f(z) and Pw∘g(z) share α(z) IM for each pair f(z...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/373910 |
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