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Normality and fixpoints of analytic functions

Published online by Cambridge University Press:  12 July 2007

J. D. Hinchliffe
J. D. Hinchliffe
Affiliation:
School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UKM
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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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