MONODROMY REPRESENTATIONS OF HYPERGEOMETRIC SYSTEMS WITH RESPECT TO FUNDAMENTAL SERIES SOLUTIONS

摘要

We study the monodromy representation of the generalized hypergeometric differential equation and that of Lauricella's FC system of hypergeometric differential equations. We use fundamental systems of solutions expressed by the hypergeometric series. We express non-diagonal circuit matrices as reflections with respect to root vectors with all entries 1. We present a simple way to obtain circuit matrices.