Bounded analytic maps, Wall fractions and ABC flow
Alexei Tsygvintsev
TL;DR
This paper investigates the properties of bounded real analytic maps in the complex plane using Wall fractions and applies these findings to analyze the ABC flow system, relevant to solar magnetic field origins.
Contribution
It introduces a novel approach using Wall fractions to study analytic maps and applies this to the ABC flow system, linking complex analysis with astrophysical phenomena.
Findings
Characterization of bounded analytic maps via Wall fractions
Application of approximation techniques to ABC flow system
Insights into the mathematical structure of solar magnetic field models
Abstract
In this work we study the qualitative properties of real analytic bounded maps defined in the infinite complex strip. The main tool is approximation by continued g-fractions of Wall. As an application, the ABC flow system is considered which is essential to the origin of the solar magnetic field.
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Taxonomy
TopicsAnalytic and geometric function theory · Algebraic and Geometric Analysis · Holomorphic and Operator Theory