Analytic continuations of the Horn and functions
Centre for High Energy Physics, Indian Institute of Science, 560012, Bangalore, Karnataka, India
Accepted: 5 September 2023
Published online: 13 November 2023
The analytic continuations (ACs) of the double variable Horn and functions have been derived for the first time using the automated symbolic Mathematica package Olsson.wl. The use of Pfaff–Euler transformations have been emphasised in deriving AC to cover regions which are otherwise not possible. The corresponding regions of convergence (ROC) are obtained using its companion package ROC2.wl. A Mathematica package HornH1H5.wl, containing all the derived ACs and the associated ROCs, along with a demonstration file of the same is made publicly available in this URL: https://github.com/souvik5151/Horn_H1_H5.git.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.