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Analytic continuations of the Horn H1 and H5 functions

Bera, S and Pathak, T (2023) Analytic continuations of the Horn H1 and H5 functions. In: European Physical Journal: Special Topics .

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Official URL: https://doi.org/10.1140/epjs/s11734-023-00990-7


The analytic continuations (ACs) of the double variable Horn H1 and H5 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/HornH1H5.git . © 2023, The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature.

Item Type: Journal Article
Publication: European Physical Journal: Special Topics
Publisher: Springer Science and Business Media Deutschland GmbH
Additional Information: The copyright for this article belongs to authors.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 04 Mar 2024 09:20
Last Modified: 04 Mar 2024 09:20
URI: https://eprints.iisc.ac.in/id/eprint/84342

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