The paper deals with the analytic complexity of solutions to bivariate holonomic hypergeometric systems of the Horn type. We obtain estimates on the analytic complexity of Puiseux polynomial solutions to the hypergeometric systems defined by zonotopes. We also propose algorithms of the analytic complexity estimation for polynomials.

中文翻译：

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超几何系统多项式解解析复杂度的算法估计

该论文讨论了 Horn 型二元完整超几何系统解的解析复杂性。我们获得了对由zonotopes定义的超几何系统的Puiseux多项式解的解析复杂度的估计。我们还提出了多项式的解析复杂度估计算法。