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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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 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.
doi_str_mv 10.1007/BF03321736
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subjects Analysis
Computational Mathematics and Numerical Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
title Inverse Polynomial Images Consisting of an Interval and an Arc
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