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.
翻译:我们提出Olsson.wl Mathematica 软件包,目的是为某些类别的多变超地球物理功能寻找线性转换,该软件包以P.O.M. Olsson在J. Math. Phys. 5, 420(1964年)中开发的著名方法为基础,目的是从高斯高斯的线性转换中得出Appell $F_1美元双倍超地球物理序列的分析连续性。我们简要介绍了奥尔松的方法,并演示了该软件包的指令以及实例。我们还提供了一个称为ROC2.wl的配套软件包,专门用于生成双高地球物理序列的趋同区域。这一软件包可以独立于 Olsson.wl 。