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The numerical inversion of two classes of Kontorovich-Lebedev transform by direct quadrature. (English) Zbl 0841.65124
The numerical inversion of the Kontorovich-Lebedev transform is examined by using direct quadrature techniques. A set of routines for tabulating the Macdonald and Kelvin functions as kernels is designed, and an application to a divergent inversion integral, summable in the sense of Abel is made.

65R10Integral transforms (numerical methods)
44A15Special transforms (Legendre, Hilbert, etc.)
Full Text: DOI
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