Computational Methods and Function Theory 9 (2009), No. 2, 407--420
Copyright Heldermann Verlag 2009
Klaus Schiefermayr
k.schiefermayr@fh-wels.at , Upper Austria University of Applied Sciences --- Campus Wels, Stelzhamerstr. 23, 4600 Wels, Austria.
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.
Keywords: Inverse polynomial image, Jacobi's elliptic functions, Jacobi's theta functions.
MSC 2000: 33E05, 30C10, 30C20.
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