Monodromy of Lauricella's hypergeometric $F_A$-system

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Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 13 (2):551-577 (2014)
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Abstract

We give a monodromy representation of Lauricella's system of differential equations annihilating the hypergeometric series FA, ; x) of k-variables; its rank is 2k. Under some non-integral conditions for parameters a, =, =, we find circuit matrices with respect to solutions represented by integrals. We make use of the intersection numbers of the domains of the integrals.

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10.2422/2036-2145.201110_010

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