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ORIGINAL RESEARCH article

Front. Appl. Math. Stat.
Sec. Mathematical Physics
Volume 11 - 2025 | doi: 10.3389/fams.2025.1526541

Mellin Convolutions of Products and Ratios

Provisionally accepted
Hans Joachim Haubold Hans Joachim Haubold 1,2*Arak M. Mathai Arak M. Mathai 3
  • 1 United Nations, New York, United States
  • 2 United Nations, Vienna, Austria
  • 3 McGill University, Montreal, Quebec, Canada

The final, formatted version of the article will be published soon.

    Usually, convolution refers to Laplace convolution in the literature. But Mellin convolutions can yield very ueful results. This aspect is illustrated in the coming sections. This paper deals with Mellin convolutions of products and ratios. Functions belonging to the pathway family of functions are considered. Several types of integral representations, their equivalent representations in terms of G and H-functions and their equivalent computable series representations are examined in this paper.

    Keywords: special functions, Mellin convolutions, H-function, G-Function, Integral transform, Laplace transform, Krätzel integrals, matrix-variate cases Mathematics Subject Classification 2010: 26A33, 44A10, 33C60, 35J10

    Received: 12 Nov 2024; Accepted: 07 Feb 2025.

    Copyright: © 2025 Haubold and Mathai. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Hans Joachim Haubold, United Nations, New York, United States

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