Algebraic Analysis of the Hypergeometric Function 1F1 of a Matrix Argument
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2020
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910967693049856 |
|---|---|
| author | Görlach, Paul Lehn, Christian Sattelberger, Anna-Laura |
| author_facet | Görlach, Paul Lehn, Christian Sattelberger, Anna-Laura |
| contents | In this article, we investigate Muirhead's classical system of differential operators for the hypergeometric function 1F1 of a matrix argument. We formulate a conjecture for the combinatorial structure of the characteristic variety of its Weyl closure which is both supported by computational evidence as well as theoretical considerations. In particular, we determine the singular locus of this system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_06162 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Algebraic Analysis of the Hypergeometric Function 1F1 of a Matrix Argument Görlach, Paul Lehn, Christian Sattelberger, Anna-Laura Algebraic Geometry Classical Analysis and ODEs 34M15, 33C70 (Primary), 34M35, 13P10, 14Q15 (Secondary) In this article, we investigate Muirhead's classical system of differential operators for the hypergeometric function 1F1 of a matrix argument. We formulate a conjecture for the combinatorial structure of the characteristic variety of its Weyl closure which is both supported by computational evidence as well as theoretical considerations. In particular, we determine the singular locus of this system. |
| title | Algebraic Analysis of the Hypergeometric Function 1F1 of a Matrix Argument |
| topic | Algebraic Geometry Classical Analysis and ODEs 34M15, 33C70 (Primary), 34M35, 13P10, 14Q15 (Secondary) |
| url | https://arxiv.org/abs/2005.06162 |