INLO-PUB-2/92 Published in J. Phys. A25 (1992) 5587–5596 Recursive Algorithm of Evaluating Vertex-Type Feynman Integrals A. I. Davydychev * Instituut-Lorentz, University of Leiden, P.O.B. 9506, 2300 RA Leiden, The Netherlands and Institute for Nuclear Physics, Moscow State University, 119899, Moscow, Russia † January 1992 Abstract An algorithm of evaluating vertex-type loop integrals is considered. It is based on applying the integration-by-parts technique. As an exam- ple, a class of massless integrals corresponding to triangle diagrams is considered. The presented method can be also applied to loop diagrams with larger number of external lines as well as to integrals with massive denominators. * Electronic mail address: DAVYD@COMPNET.NPIMSU.MSK.SU † Permanent address 0