Mellin Convolutions of Products and Ratios
Classical Analysis and ODEs
2025-01-28 v1 Mathematical Physics
math.MP
Abstract
Usually, convolution refers to Laplace convolution in the literature. But Mellin convolutions can yield very ueeful 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.
Cite
@article{arxiv.2501.15202,
title = {Mellin Convolutions of Products and Ratios},
author = {A. M. Mathai and H. J. Haubold},
journal= {arXiv preprint arXiv:2501.15202},
year = {2025}
}
Comments
26 pages