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Tricomi’s Method for the Laplace Transform and Orthogonal Polynomials

Tricomi’s Method for the Laplace Transform and Orthogonal Polynomials

Tricomi’s method for computing a set of inverse Laplace transforms in terms of Laguerre polynomials is revisited. By using the more recent results about the inversion and the connection coefficients for the series of orthogonal polynomials, we find the possibility to extend the Tricomi method to more general series expansions. …