Normal Criteria of Function Families Related to a Result of Drasin
We study the normality of families of meromorphic functions related to a result of Drasin. We consider whether a family meromorphic functions F whose each function does not take zero is normal in D, if for every pair of functions f and g in F, f(z) and g(z) share ∞ or H(f)−1 and H(g)−1 share 0, wher...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/826164 |
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| Summary: | We study the normality of families of meromorphic functions related to a result of Drasin. We consider whether a
family meromorphic functions F whose each function does not take
zero is normal in D, if for every pair of functions f and g in F, f(z) and g(z) share ∞ or H(f)−1 and H(g)−1 share 0, where H(f):=f(k)(z)+ak−1f(k−1)(z)+⋯,a0f(z). Some examples show that the conditions in our results are best possible. |
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| ISSN: | 1026-0226 1607-887X |