Olsson.wl：一个用于计算多变量超几何函数线性变换的 Mathematica 包
Olsson.wl : a Mathematica package for the computation of linear transformations of multivariable hypergeometric functions
AI总结：
本文提出了用于计算多变量超几何函数线性变换的 Olsson.wl Mathematica 包，基于 Olsson 方法推导 Appell F1 级数的解析延拓，并提供推导收敛域的配套包 ROC2.wl。
摘要：
我们提出了 Olsson$.$wl Mathematica 包，旨在为某些类别的多变量超几何函数寻找线性变换。它基于 P. O. M. Olsson 于 J. Math. Phys. 5, 420 (1964) 中开发的一种著名方法，以便从 Gauss $_2F_1$ 超几何函数的线性变换推导 Appell $F_1$ 双重超几何级数的解析延拓。我们提供了 Olsson 方法的简要描述，并演示了该包的命令及示例。我们还提供了一个名为 ROC2$.$wl 的配套包，专门用于推导双重超几何级数的收敛域。该包可独立于 Olsson$.$wl 使用。
英文摘要：
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.
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