论文标题
olsson.wl：用于计算多变量超几何函数线性转换的Mathematica软件包
Olsson.wl : a Mathematica package for the computation of linear transformations of multivariable hypergeometric functions
论文作者
论文摘要
我们介绍Olsson $。$ WL Mathematica软件包，该软件包旨在为某些类别的多变量高几何功能找到线性转换。它基于P. O. M. Olsson在J. Math中开发的一种众所周知的方法。物理。 5，420（1964）为了得出来自高斯的线性变换$ _2F_1 $超几何函数的Appell $ f_1 $双重测定序列的分析连续。我们提供了Olsson方法的简要说明，并演示了包装的命令以及示例。我们还提供了一个称为ROC2 $。$ WL的配套软件包，并专门用于衍生双重高几幅系列的收敛区域。该软件包可以独立于Olsson $。$ WL使用。
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.
