Evaluating residues and integrals through Negative Dimensional Integration Method (NDIM)

Details Evaluating residues and integrals through Negative Dimensional Integration Method (NDIM) Evaluating residues and integrals through Negative Dimensional Integration Method (NDIM)

2004-07-15

arxiv.org/abs/math-ph/0407032v1

Physics

Mathematical Physics

13 pages, 1 figure generated inside text through latex commands

Scientific paper

The standard way of evaluating residues and some real integrals through the residue theorem (Cauchy's theorem) is well-known and widely applied in many branches of Physics. Herein we present an alternative technique based on the negative dimensional integration method (NDIM) originally developed to handle Feynman integrals. The advantage of this new technique is that we need only to apply Gaussian integration and solve systems of linear algebraic equations, with no need to determine the poles themselves or their residues, as well as obtaining a whole class of results for differing orders of poles simultaneously.

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