Olsson.wl : a Mathematica package for the computation of linear transformations of multivariable hypergeometric functions
Abstract
We present the Olssonwl 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 double hypergeometric series from the linear transformations of the Gauss 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 ROC2wl and dedicated to the derivation of the regions of convergence of double hypergeometric series. This package can be used independently of Olssonwl.
Cite
@article{arxiv.2201.01189,
title = {Olsson.wl : a Mathematica package for the computation of linear transformations of multivariable hypergeometric functions},
author = {B. Ananthanarayan and Souvik Bera and S. Friot and Tanay Pathak},
journal= {arXiv preprint arXiv:2201.01189},
year = {2025}
}
Comments
16 pages, 1 figure and 2 ancillary files