Inverse polynomial images consisting of an interval and an arc
Klaus Schiefermayr
TL;DR
This paper explores the geometric properties of inverse polynomial images that include a real interval and a symmetric arc, utilizing Jacobi elliptic and theta functions for proofs.
Contribution
It introduces new geometric insights into inverse polynomial images combining intervals and arcs, with proofs based on elliptic and theta functions.
Findings
Characterization of inverse polynomial images with interval and arc
Use of Jacobi elliptic functions in geometric analysis
Application of theta functions in proof techniques
Abstract
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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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Advanced Vision and Imaging · Mathematical Analysis and Transform Methods