Normality and fixpoints of analytic functions
Published online by Cambridge University Press: 12 July 2007
Abstract
Let D be a domain in C and let f be a transcendental meromorphic function on C such that C* \f(C) = ∅, {∞} or {α, β}, where α and β are two distinct values in C* = C ∪ {∞}. Then the family of functions g that are analytic on D and such that f ∘ g has no fixpoints on D is normal.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 6 , December 2003 , pp. 1335 - 1339
- Copyright
- Copyright © Royal Society of Edinburgh 2003
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