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An entire function with a Baker domain and sparsely distributed singular values

Published online by Cambridge University Press:  01 July 2008

D. S. FLEISCHMANN
D. S. FLEISCHMANN*
Affiliation:
Department of Mathematics, The Open University, Walton Hall, Milton Keynes MK76AA. e-mail: [email protected]
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Abstract

We present an example of an entire function with a Baker domain such that the complement of the set of singular values of the function contains annuli of arbitrarily large width. This is the first known example of a function with this property.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 145 , Issue 1 , July 2008 , pp. 227 - 241
Copyright
Copyright © Cambridge Philosophical Society 2008

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References

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