论文标题

矩阵参数的超几何函数1F1的代数分析

Algebraic Analysis of the Hypergeometric Function 1F1 of a Matrix Argument

论文作者

Görlach, Paul, Lehn, Christian, Sattelberger, Anna-Laura

论文摘要

在本文中,我们研究了Muirhead的经典系统,用于矩阵参数的超几何函数1F1。我们为其特征性封闭的特征性多样性的组合结构提出了一个猜想,既由计算证据和理论考虑支持。特别是,我们确定了该系统的奇异基因座。

In this article, we investigate Muirhead's classical system of differential operators for the hypergeometric function 1F1 of a matrix argument. We formulate a conjecture for the combinatorial structure of the characteristic variety of its Weyl closure which is both supported by computational evidence as well as theoretical considerations. In particular, we determine the singular locus of this system.

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