Lauricella's $F_C$ with finite irreducible monodromy group

Abstract

We study the conditions under which the monodromy group for Lauricella's hypergeometric function $F_C(a,b,c;x)$ is finite irreducible. We give the conditions in terms of the parameters $a,b,c$. In addition, we discuss the structure of the finite irreducible monodromy group.

22 pages; Lemma 4.3 have been modified; Section 5 in which the structure of the finite irreducible monodromy group is studied have been added