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An inversion formula for a kernel involving a Mellin-Barnes type integral

An inversion formula for a kernel involving a Mellin-Barnes type integral

where K(s) denotes the Mellin transform of the kernel k(x). The main aim of the present paper is to find an inversion formula for an integral transform whose kernel Rp,q(x) has a Mellin-Barnes type integral representation. On account of the general character of the kernel various integral transforms possessing Whittaker …