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Displaying similar documents to “On numerical evaluation of integrals involving Bessel functions”

Laguerre polynomials in the inversion of Mellin transform

George J. Tsamasphyros, Pericles S. Theocaris (1981)

Aplikace matematiky

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In order to use the well known representation of the Mellin transform as a combination of two Laplace transforms, the inverse function g ( r ) is represented as an expansion of Laguerre polynomials with respect to the variable t = l n r . The Mellin transform of the series can be written as a Laurent series. Consequently, the coefficients of the numerical inversion procedure can be estimated. The discrete least squares approximation gives another determination of the coefficients of the series expansion....