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}
}
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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