A Mathematica package for deriving linear transformations of multivariate hypergeometric functions based on the method of Olsson [1]. It is based on the work :
The companion package ROC2.wl can find the region of convergence of double variable hypergeometric functions.
To install the package one can copy and paste the package at the desired location. The path for the directory can be set as follows
SetDirectory[Path of the location]
After setting the path, The Olsson.wl package can be called using the following command
<<Olsson.wl
The companion package ROC2.wl is automatically called inside the Olsson.wl package.
The available commands can be found using the following command :
?Olsson`*
The commands and usage of the packages are discussed in the article in great detail.
F4_derivation.nb : This file contains the derivation of analytical continuations of Appell F4 using the package.
KdF_derivation.nb : This file contains the derivation of analytic continuations relevant to the study of the Feynman integral considered in the paper.
Ac_all_combined.nb : This file contains all the combined analytic continuations relevant to the calculations of the Feynman integral considered in the paper.
transformations_HMS.nb : This file contains the derivation of various transformation formulas from the book [2].
[2] Srivastava, H. M., & Karlsson, P. W. (1985). Multiple Gaussian hypergeometric series.