On a class of functions regular in the unit disc
Published online by Cambridge University Press: 24 October 2008
Extract
MacLane(1) has introduced the class of functions with a dense set of asymptotic values on {|z| = 1} in the following sense:
Definition. Let f(z) be regular and not constant in the unit disc and let ξ be a point of {|z| = 1}. Suppose that there exists a curve Γξ in {|z| < 1} and a in the closed complex plane such that f(z) → a as z → ξ along Γξ. Then we say ξ ∈ Aa.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 3 , July 1968 , pp. 651 - 654
- Copyright
- Copyright © Cambridge Philosophical Society 1968
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