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Pfaffian of Lauricella's hypergeometric system $F_A$ (1502.00334v1)
Published 2 Feb 2015 in math.AG
Abstract: We give a Pfaffian system of differential equations annihilating Lauricella's hypergeometric series $F_A(a,b,c;x)$ of $m$-variables. This system is integrable of rank $2m$. To express the connection form of this system, we make use of the intersection form of twisted cohomology groups with respect to integrals representing solutions of this system.
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