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Olsson.wl : a Mathematica package for the computation of linear transformations of multivariable hypergeometric functions - MaRDI portal

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Olsson.wl : a Mathematica package for the computation of linear transformations of multivariable hypergeometric functions

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Publication:6387478

arXiv2201.01189MaRDI QIDQ6387478

Author name not available (Why is that?)

Publication date: 31 December 2021

Abstract: 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.




Has companion code repository: https://github.com/anant-group/feyngkz








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