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We show that dimensional recurrence relation and analytical properties of theloop integrals as functions of complex variable $\mathcal{D}$ (space-timedimensionality) provide a regular way to derive analytical representations ofloop integrals. The representations derived have a form of exponentiallyconverging sums. Several examples of the developed technique are given.

nuclear physics b

Space-time dimensionality D as complex variable: calculating loop  integrals using dimensional recurrence relation and analytical properties  with respect to D