Olsson.wl : a Mathematica package for the computation of linear transformations of multivariable hypergeometric functions
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915263463555072 |
|---|---|
| author | Ananthanarayan, B. Bera, Souvik Friot, S. Pathak, Tanay |
| author_facet | Ananthanarayan, B. Bera, Souvik Friot, S. Pathak, Tanay |
| contents | We present the Olsson$.$wl Mathematica package which aims to find linear transformations for some classes of multivariable hypergeometric functions. It is based on a well-known method developed by P. O. M. Olsson in J. Math. Phys. 5, 420 (1964) in order to derive the analytic continuations of the Appell $F_1$ double hypergeometric series from the linear transformations of the Gauss $_2F_1$ hypergeometric function. We provide a brief description of Olsson's method and demonstrate the commands of the package, along with examples. We also provide a companion package, called ROC2$.$wl and dedicated to the derivation of the regions of convergence of double hypergeometric series. This package can be used independently of Olsson$.$wl. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_01189 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Olsson.wl : a Mathematica package for the computation of linear transformations of multivariable hypergeometric functions Ananthanarayan, B. Bera, Souvik Friot, S. Pathak, Tanay Mathematical Software Numerical Analysis High Energy Physics - Phenomenology High Energy Physics - Theory We present the Olsson$.$wl Mathematica package which aims to find linear transformations for some classes of multivariable hypergeometric functions. It is based on a well-known method developed by P. O. M. Olsson in J. Math. Phys. 5, 420 (1964) in order to derive the analytic continuations of the Appell $F_1$ double hypergeometric series from the linear transformations of the Gauss $_2F_1$ hypergeometric function. We provide a brief description of Olsson's method and demonstrate the commands of the package, along with examples. We also provide a companion package, called ROC2$.$wl and dedicated to the derivation of the regions of convergence of double hypergeometric series. This package can be used independently of Olsson$.$wl. |
| title | Olsson.wl : a Mathematica package for the computation of linear transformations of multivariable hypergeometric functions |
| topic | Mathematical Software Numerical Analysis High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2201.01189 |