Inverse Polynomial Images Consisting of an Interval and an Arc

In this paper, some geometric properties of inverse polynomial images which consist of a real interval and an arc symmetric with respect to the real line are obtained. The proofs are based on properties of Jacobi’s elliptic and theta functions.

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Bibliographic Details
Published in:Computational methods and function theory 2009-10, Vol.9 (2), p.407-420
Main Author: Schiefermayr, Klaus
Format: Article
Language:English
Subjects:
Analysis
Computational Mathematics and Numerical Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
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Description
Summary:In this paper, some geometric properties of inverse polynomial images which consist of a real interval and an arc symmetric with respect to the real line are obtained. The proofs are based on properties of Jacobi’s elliptic and theta functions.
ISSN:1617-9447
2195-3724
DOI:10.1007/BF03321736