EXTENDED FRACTIONAL INTEGRALS, PRODUCTS
AND RATIOS OF MATRICES AND
STATISTICAL DISTRIBUTIONS
A.M. Mathai
Emeritus Professor of Mathematics and Statistics
McGill University, CANADA

Abstract

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, especially fractional integrals, and statistical distribution theory.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 1
Year: 2020

DOI: 10.12732/ijam.v33i1.7

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