Electrostatic equilibria on the unit circle via Jacobi polynomials

  title={Electrostatic equilibria on the unit circle via Jacobi polynomials},
  author={Krista E Johnson and Brian Simanek},
  journal={arXiv: Mathematical Physics},
We use classical Jacobi polynomials to identify the equilibrium configurations of charged particles confined to the unit circle. Our main result unifies two theorems from a 1986 paper of Forrester and Rogers. 

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