Electrostatics and the Zeros of the Classical Polynomials

Abstract
New interpretations of the zeros of the classical polynomials as the equilibrium positions of two-dimensional electrostatic problems are given. The electrostatic problems solved include determining the equilibrium position on the circle of $n2^M $ particles of unit charge and $2^M $ particles of charge $ + q$, given that between every two $ + q$ charges there are n unit charges.

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