ar X iv : h ep - p h / 01 02 27 1 v 1 2 1 Fe b 20 01 1 Application and explicit solution of recurrence relations with respect to space - time dimension
نویسنده
چکیده
A short review of the method for the tensor reduction of Feynman integrals based on recurrence relations w.r.t. space-time dimension d is given. A solution of the difference equation w.r.t. d for the n-point one-loop integrals with arbitrary momenta and masses is presented. The result is written as multiple hypergeometric series depending on ratios of Gram determinants. For the 3-point function a new expression in terms of the Appell hypergeometric function F1 is presented.
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