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Unbounded analytic functions on plane domains

Part of: Geometric function theory

Published online by Cambridge University Press:  26 February 2010

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

A function is called strongly unbounded on a domain D if there exists a sequence in D on which f and all its derivatives tend to infinity. A result of Gordon is generalized to show that an unbounded analytic function on a quasidisk is always strongly unbounded there.

MSC classification

Secondary: 30C62: Quasiconformal mappings in the plane

Information

Type
Research Article
Information
Mathematika , Volume 50 , Issue 1-2 , December 2003 , pp. 207 - 214
Copyright
Copyright © University College London 2003

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References

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