Abstract

In spite of being a classical problem, the current techniques available for Symbolic Integration are not sufficient to evaluate a variety of integrals coming from Mathematical Physics, such as Bessel functions. The Method of Brackets [2, 3], a heuristic process appearing in the evaluation of Feynman diagrams, can be used to evaluate symbolically a large class of single or multiple integrals. It represents an extension of the so-called Ramanujan Master Theorem [1]. The first implementation of the Method of Brackets has been written by the author in the open-source computer algebra system Sage. This implementation allows experimentation with representations of the integrand, which can affect output and efficiency. An algorithm that chooses the best representation of the integrand is being developed.

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