Equilibrium of charges and differential equations solved by polynomials

By I. Loutsenko. 2003

367 citations recorded by the source corpus.

We study limits of particular importance of the bilinear hypergeometric equation introduced in [8]. As part of this study, we examine connections between the rationality of certain indefinite integrals and the equilibrium of Coulomb charges in the complex plane (or point vortices in two-dimensional hydrodynamics). Relationships with integrable models which are generalizations of the Calogero–Moser systems are also discussed.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5b0dd6b0667a031228bc7165edb256b2af6155fa

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1. M. Lahtinen
2. M. Sillanpää
3. S. Heijman
4. M. Yadav
5. V. Garg
6. N. Jiang
7. M. Jain
8. L. Rietveld

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