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In this paper, we investigate a Meijer–Laplace transform enfolding Fox’s  H -functions on a class of Boehmians. The extended Meijer–Laplace transform of a Boehmian is determined and executed to preserve certain properties of the classical transform. The inverse problem and related theorems are also discussed in some details.

On a class of generalized Meijer–Laplace transforms of Fox function type kernels and their extension to a class of Boehmians