# Hypergeometric Functions and Feynman Diagrams

@article{Kalmykov2021HypergeometricFA,
title={Hypergeometric Functions and Feynman Diagrams},
author={Mikhail Yu. Kalmykov and Vladimir V. Bytev and Bernd A. Kniehl and S. Moch and Bennie F. L. Ward and Scott A. Yost},
journal={Texts \& Monographs in Symbolic Computation},
year={2021}
}
• Published 28 December 2020
• Mathematics
• Texts & Monographs in Symbolic Computation
The relationship between Feynman diagrams and hypergeometric functions is discussed. Special attention is devoted to existing techniques for the constructionof the Y-expansion. As an example, we present a detailed discussion of the construction of the Y-expansion of the Appell function 3 around rational values of parameters via an iterative solution of differential equations. Another interesting example is the Puiseux-type solution involving a differential operator generated by a hypergeometric…
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