Equilibrium of charges and differential equations solved by polynomials
Igor Loutsenko
TL;DR
This paper explores the relationship between the rationality of indefinite integrals and the equilibrium configurations of Coulomb charges in the complex plane, revealing mathematical links between analysis and electrostatics.
Contribution
It introduces a novel connection between indefinite integral rationality and Coulomb charge equilibrium in the complex plane.
Findings
Identifies conditions for rational indefinite integrals related to charge equilibrium
Establishes a mathematical link between complex analysis and electrostatics
Provides new insights into polynomial solutions of differential equations
Abstract
We examine connections between rationality of certain indefinite integrals and equilibrium of Coulomb charges in the complex plane.
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