Reclassifying Feynman integrals as special functions
Abstract
Although Feynman integrals in general cannot be expressed as well-studied special functions, they can be calculated systematically and efficiently using the AMFlow method in combination with differential equations in the kinematic space. Therefore, it is constructive to define Feynman integrals as a new class of special functions (or transcedental numbers if there is no kinematic variable). Several crucial avenues for further exploration in this direction are outlined.
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