In this paper, an integral transform, associated with the product of WHITTAKAR'S confluent hypergeometric function Wλ, μ(z) and the H-function due to FOX, as its kernel, is introduced and extended to a certain class of generalized functions. For this a testing function space over the interval (0, ∞), which contains the kernel of this transform, is investigated and a complex inversion formula and uniqueness theorem for this generalized H-transformation are established.
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