|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'501'711
Articles rated: 2609
20 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Some new facts around the delta neutral H function of Fox | | D. Karp
; E. Prilepkina
; | | Date: |
20 Nov 2015 | | Abstract: | In this paper we find several new properties of delta neutral H function of
Fox. In particular, we find expansion in the neighborhood of finite nonzero
singularity and give new Mellin transform formulas under a special restriction
on parameters. The last result is applied to prove a conjecture regarding the
representing measure for gamma ratio in Bernstein’s theorem. Further, we find
weak limit of measures expressed in terms of H function providing a
regularization method for integrals containing delta neutral zero-balanced H
function. We apply this result to extend a recently discovered integral
equation to zero-balanced case. In the last section we consider this integral
equation in case of Meijer’s G function which leads to certain expansions
believed to be new even in the case of the Gauss hypergeometric function. | | Source: | arXiv, 1511.6612 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER