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arXiv · 2207.08524

Computer Algebra and Hypergeometric Structures for Feynman Integrals

Johannes Bluemlein·Marco Saragnese·Carsten Schneider
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Abstract

We present recent computer algebra methods that support the calculations of (multivariate) series solutions for (certain coupled systems of partial) linear differential equations. The summand of the series solutions may be built by hypergeometric products and more generally by indefinite nested sums defined over such products. Special cases are hypergeometric structures such as Appell-functions or generalizations of them that arise frequently when dealing with parameter Feynman integrals.

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Johannes Bluemlein, Marco Saragnese, Carsten Schneider. 2022-07-18. Computer Algebra and Hypergeometric Structures for Feynman Integrals. https://arxiv.org/abs/2207.08524

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