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- W4300883920 abstract "Two-point Feynman parameter integrals, with at most one mass and containing local operator insertions in $4+ep$-dimensional Minkowski space, can be transformed to multi-integrals or multi-sums over hyperexponential and/or hypergeometric functions depending on a discrete parameter $n$. Given such a specific representation, we utilize an enhanced version of the multivariate Almkvist--Zeilberger algorithm (for multi-integrals) and a common summation framework of the holonomic and difference field approach (for multi-sums) to calculate recurrence relations in $n$. Finally, solving the recurrence we can decide efficiently if the first coefficients of the Laurent series expansion of a given Feynman integral can be expressed in terms of indefinite nested sums and products; if yes, the all $n$ solution is returned in compact representations, i.e., no algebraic relations exist among the occurring sums and products." @default.
- W4300883920 created "2022-10-04" @default.
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- W4300883920 date "2012-10-05" @default.
- W4300883920 modified "2023-09-27" @default.
- W4300883920 title "Advanced Computer Algebra Algorithms for the Expansion of Feynman Integrals" @default.
- W4300883920 hasPublicationYear "2012" @default.
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