Multiple Mellin-Barnes Integrals as Periods of Calabi-Yau Manifolds With   Several Moduli
  We give a representation, in terms of iterated Mellin-Barnes integrals, of periods on multi-moduli Calabi-Yau manifolds arising in superstring theory. Using this representation and the theory of multidimensional residues, we present a method for analytic continuation of the fundamental period in the form of Horn series. 
M. Passare, A.K. Tsikh, A.A. Cheshel