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The authors present a unified method for calculating the zeros of theclassical orthogonal polynomials based upon the electrostatic interpretationand its connection to the energy minimization problem. Examples are given witherror estimates for three cases of the Jacobi polynomials, three cases of theLaguerre polynomials, and the Hermite polynomials. In the case of the Chebyshevpolynomials, exact errors are given.

A Unified Approach to Computing the Zeros of Classical Orthogonal Polynomials