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- W2040341617 abstract "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 functions, Bessel functions, Meijer's G-functions etc. as kernels can be derived as particular cases. It has been shown by means of fractional integration theory that this kernel can be reduced to an exponential function and consequently the transform will reduce to Laplace transform which can be solved by known methods." @default.
- W2040341617 created "2016-06-24" @default.
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- W2040341617 date "1966-04-01" @default.
- W2040341617 modified "2023-09-27" @default.
- W2040341617 title "An inversion formula for a kernel involving a Mellin-Barnes type integral" @default.
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- W2040341617 doi "https://doi.org/10.1090/s0002-9939-1966-0196430-6" @default.
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