Hypergeometric Structures in Feynman Integrals

Understand

Hypergeometric structures in single and multiscale Feynman integrals emerge in a wide class of topologies.

• Using integration-by-parts relations, associated master or scalar integrals have to be calculated.
• For this purpose it appears useful to devise an automated method which recognizes the respective (partial) differential equations related to the corresponding higher transcendental functions.
• We solve these equations through associated recursions of the expansion coefficient of the multivalued formal Taylor series.