Monodromy representations of hypergeometric systems with respect to fundamental series solutions

preprint2015arXivOpen access

Abstract

We study the monodromy representation of the generalized hypergeometric differential equation and that of Lauricella's FCF_C 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 11. We present a simple way to obtain circuit matrices.

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