GKZ超几何函数的拉普拉斯、留数和欧拉整表示
Laplace, Residue, and Euler integral representations of GKZ hypergeometric functions
摘要：
我们考虑GKZ系统解的四种表示：级数表示、Laplace整表示、Euler整表示和本文将介绍的留数整表示。在本文的前半部分，我们提供了一种方法来构造积分循环拉普拉斯，剩余，和欧拉整表示，并将它们与级数表示。在后半部分，我们重新制定我们的整表示的直接图像的$D$ -模，并证明他们的等价性。
英文摘要：
We consider four types of representations of solutions of GKZ system: series representations, Laplace integral representations, Euler integral representations, and Residue integral representations which will be introduced in this paper. In the former half of this paper, we provide a method for constructing integration cycles for Laplace, Residue, and Euler integral representations and relate them to series representations. In the latter half, we reformulate our integral representations in terms of direct images of $D$-modules and show their equivalence.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
