On the parametric behavior of 𝐴-hypergeometric series

Berkesch, Christine; Forsgård, Jens; Matusevich, Laura

doi:10.1090/tran/7071

On the parametric behavior of $A$-hypergeometric series
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by Christine Berkesch, Jens Forsgård and Laura Felicia Matusevich PDF

Trans. Amer. Math. Soc. 370 (2018), 4089-4109 Request permission

Abstract:

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.

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