https://doi.org/10.1140/epjs/s11734-025-01631-x
Regular Article
A guidebook to recent mathematica implementations of Feynman integral and hypergeometric function theory and related topics
1
Centre for High Energy Physics, Indian Institute of Science, C.V. Raman rd, 560 012, Bangalore, Karnataka, India
2
Asia Pacific Center for Theoretical Physics, 77 Cheongam-ro, Nam-gu, 37673, Pohang-si, Gyeongsangbuk-do, Korea
Received:
4
January
2025
Accepted:
7
April
2025
Published online:
9
May
2025
In this write-up, we describe some recent Mathematica packages we have developed that are relevant to the study of Feynman integrals, hypergeometric function theory, and their inter-relationship. We present a method to find algebraic relations among Feynman integrals based on the approach of O.V. Tarasov. We demonstrate the method of Olsson for finding the analytic continuations of multivariate hypergeometric series. In addition, we outline an algorithm to find the expansion of hypergeometric functions of several variables around their parameters. A package to approximate bivariate series is also described. This work represents one aspect of cutting-edge research in elementary particle physics.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
