A Mathematica package for finding the series expansion of multivariate hypergeometric functions. It is based on the work :
- ϵ-expansion of multivariable hypergeometric functions appearing in Feynman integral calculus
- MultiHypExp : A Mathematica Package For Expanding Multivariate Hypergeometric Functions In Terms Of Multiple Polylogarithms
It requires the following packages as dependencies.
Installation
After setting the path of all the dependencies, the package MultiHypExp can be called using the Get command of Mathematica as
<<MultiHypExp.wl
There are two available commands. These are SeriesExpand and ReduceFunction. The description of these commands can be found as
?SeriesExpand
and
?ReduceFunction
Please see the Manual.nb notebook for further instructions.
Source file
The package MultiHypExp.wl is located in ./source folder.
Example files
Five example notebooks are provided with the package which contains several examples of one, two and three variable hypergeometric functions.
- Manual.nb
- Examples_One_variable.nb
- Examples_Two_variable_v1.nb
- Examples_Two_variable_v2.nb
- Examples_Three_variable.nb