... convolution for integral transforms Stieltjes,Hilbert and the cosine-sine transforms [12], the generalized convolution for H-transform [9], the generalized convolution for I-transform [16]. For example, ... Mellin transform[18] and after that the convolutions for the Hilbert transform [4, 21], the Han-kel transform [7, 22], the Kontorovich–Lebedev transform [7, 26], the Stieltjestransform [19, ... transforms were studied in the 19thcentury, at firstthe convolutions for the Fourier transform (see, e.g. [3, 20]), for the Laplacetransform (see [18, 20] and the references therein) for the...