Ridha Moussa, James Tipton
Published 2021-09-19Version 1
The authors present a unified method for calculating the zeros of the classical orthogonal polynomials based upon the electrostatic interpretation and its connection to the energy minimization problem. Examples are given with error estimates for three cases of the Jacobi polynomials, three cases of the Laguerre polynomials, and the Hermite polynomials. In the case of the Chebyshev polynomials, exact errors are given.
On classical orthogonal polynomials on lattices and some characterization theorems
Orbit functions of SU(n) and Chebyshev polynomials
Asymptotics of Chebyshev Polynomials, I. Subsets of $\mathbb{R}$
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