Mellin Convolutions of Products and Ratios
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910801106829312 |
|---|---|
| author | Mathai, A. M. Haubold, H. J. |
| author_facet | Mathai, A. M. Haubold, H. J. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15202 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mellin Convolutions of Products and Ratios Mathai, A. M. Haubold, H. J. Classical Analysis and ODEs Mathematical Physics 26A33, 44A10, 33C60, 35J10 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. |
| title | Mellin Convolutions of Products and Ratios |
| topic | Classical Analysis and ODEs Mathematical Physics 26A33, 44A10, 33C60, 35J10 |
| url | https://arxiv.org/abs/2501.15202 |