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Estimates For The Zeros Of Ultraspherical Polynomials, Frank B. Correia
Estimates For The Zeros Of Ultraspherical Polynomials, Frank B. Correia
Mathematics & Statistics ETDs
In this work an attempt is made to develop a new method for estimating the zeros of the Ultraspherical Polynomials. This method presupposes knowledge of the differential equation that these polynomials satisfy. However the method is applicable to a much wider class of functions since it may also be applied to estimating the zeros of the solutions of any homogeneous linear differential equation of the second order which satisfies certain initial conditions.