| Weakly Repulsive Fix-Points of Meromorphic Functions and Quasinormal Families |
| Received:January 15, 2001 |
| Key Words:
meromorphic function weakly repulsive fixpoint quasinormal family.
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| Abstract: |
| We study the relationship between the weakly repulsive fixpoints of meromorphic functions and quasinormal families. Let F be a family of meromorphic functions in a domain in D and let q≥ 0 be an integer. We obtain that if for each f ∈F there is an integer k = k (f) > 1 such that the k-th iteration fk of f has q weakly repulsive fixpoints in D , then F is a quasinormal family with order at most max {4,q+ 2} . |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2003.04.017 |
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