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math-phApr 4, 2003
32
citations (OpenAlex)
authors
  • Igor Loutsenko
institutions
  • Scuola Internazionale Superiore di Studi Avanzati
arXiv abstractPDF
paper

Equilibrium of charges and differential equations solved by polynomials

arXiv:math-ph/0304008 · doi:10.1088/0305-4470/37/4/017

Abstract

We examine connections between rationality of certain indefinite integrals and equilibrium of Coulomb charges in the complex plane.

LATEX, 15 pages

References in corpus (1)

  • Integrable Dynamics of Charges Related to Bilinear Hypergeometric Equation

Cited by in corpus (8)

  • Vortices and Polynomials
  • Point vortices and polynomials of the Sawada-Kotera and Kaup-Kupershmidt equations
  • Vortices ans Polynomials: Nonuniqueness of the Adler-Moser polynomials for the Tkachenko equation
  • Self-similar potentials in quantum mechanics and coherent states
  • Electrostatic partners and zeros of orthogonal and multiple orthogonal polynomials
  • New Applications of Quantum Algebraically Integrable Systems in Fluid Dynamics
  • Liouville chains: new hybrid vortex equilibria of the 2D Euler equation
  • Equilibrium of Charges and Differential Equations Solved by Polynomials II
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