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For two functions, Mellin convolutions of products and ratios are well-known in the literature. But these for three or more functions is not discussed extensively in the literature. The corresponding matrix transform and M-convolutions are rarely considered in the literature. In this paper, a detailed examination of M-convolutions of products and ratios involving three functions is carried out, pointing out the relevance of the results in different areas such as fractional calculus, especiallydoi:10.12732/ijam.v33i1.7 fatcat:2vzx52jc7jhvvjrygask3ne77e