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Here we introduce a new integral transform whose kernel is the Hfunction. Since most of the important functions occurring in Applied Mathematics and Physics are special cases of the //-function, various integral transforms involving these functions as kernels follow as special cases of our transform. We mention some of them here and observe that a study of this transform gives general and useful results which serve as key formulae for several important integral transforms viz. Laplacedoi:10.1017/s1446788700006339 fatcat:emtyn2l6brcfpkj57squx6gn4a