On the parametric behavior of $A$-hypergeometric series
Christine Berkesch, Jens Forsgård, Laura Felicia Matusevich · Transactions of the American Mathematical Society · 2016
We describe the parametric behavior of the series solutions of an $A$-hypergeometric system. More precisely, we construct explicit stratifications of the parameter space such that, on each stratum, the series solutions of the system are holomorphic.