4.8 Article

Multiple Series Representations of N-fold Mellin-Barnes Integrals

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Summary: The computational technique of N-fold Mellin-Barnes integrals is utilized to derive series representations of the massive one-loop conformal three-point Feynman integral, confirming certain existing results and providing new ones. This work also proves recent conjectures regarding the representation of the massive one-loop conformal n-point integral in terms of multiple hypergeometric series, and explores the relationships among these conjectures and new transformations in hypergeometric functions theory. Additionally, the study identifies spurious contributions that can arise in the Yangian approach.

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