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Sharp estimates for the zeros of the derivative of oscillating polynomials with Laguerre weight

Sharp estimates for the zeros of the derivative of oscillating polynomials with Laguerre weight

Denote by V n (λ ) the set of all weighted polynomials of the form f (x) = e -λ x p(x) (λ > 0) , where p is an algebraic polynomial of degree n which has n simple real zeros.GivenWe prove sharp estimates of the formswith explicit expressions for …