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Some applications of Griffiths theorem in theory of Feynman integrals (1705.04811v1)
Published 13 May 2017 in math-ph, math.AP, math.CV, and math.MP
Abstract: The present paper provides a method for finding partial differential equations satisfied by the Feynman integrals for diagrams of various types, using the Griffiths theorem on the reduction of poles of rational differential forms. As an application, an algorithm for computing partial differential equations satisfied by Feynman integrals for diagrams of a ladder type is described.
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