Lauricella's 𝐹_𝐶 with finite irreducible monodromy group

Abstract

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