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The distribution of the zeros of orthogonal polynomials on an infinite interval is studied by means of a distribution function Zₙ that makes a jump at each zero of the nth polynomial. The jumps are chosen properly in order that the function Zₙ converges as n → ∞. The asymptotic behaviour is given for the special case of (generalized) Laguerre and Hermite polynomials.
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Walter Van Assche (1985) studied this question.
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