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arXiv · 1908.01427

Gevrey and formal Nilsson solutions of $A$-hypergeometric systems

María-Cruz Fernández-Fernández
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Abstract

We prove that the space of Gevrey solutions of an $A$--hypergeometric system along a coordinate subspace is contained in a space of formal Nilsson solutions. Moreover, under some additional conditions, both spaces are equal. In the process we prove some other results about formal Nilsson solutions.

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María-Cruz Fernández-Fernández. 2019-08-05. Gevrey and formal Nilsson solutions of $A$-hypergeometric systems. https://doi.org/10.1016/j.jpaa.2020.106350

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