Conformal mapping of rectangular heptagons
Andrei B. Bogatyrev
TL;DR
This paper introduces an analytical method for conformally mapping rectangular polygons using Riemann surface theory and theta functions, providing a mathematical framework for complex geometric transformations.
Contribution
It presents a novel analytical approach leveraging Riemann surfaces and theta functions for conformal mapping of rectangular polygons, advancing mathematical techniques in geometric analysis.
Findings
Developed explicit formulas for conformal maps of rectangular heptagons.
Demonstrated the effectiveness of the method through mathematical examples.
Extended the theory of conformal mappings with new analytical tools.
Abstract
We propose an analytical approach to the conformal mapping of (rectangular) polygons based on the theory of Riemann surfaces and theta functions.
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