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Olsson.wl : a Mathematica package for the computation of linear transformations of multivariable hypergeometric functions
B. Ananthanarayan, Souvik Bera, S. Friot, Tanay Pathak
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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 F₁ double hypergeometric series from the linear transformations of the Gauss ₂F₁ 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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