In the one-dimensional case, an asymptotic expansion with respect to the parameter for the Feynman integral in the Lee—Pomeransky representation, is obtained. The previously stated conjecture on how to obtain asymptotic series is proved, and the form of the terms of the series and the relationship of the series with Newton’s polyhedron of the polynomial participating in the integrand are determined.

中文翻译：

---

一维情况下费曼积分的渐近级数

在一维情况下，获得关于Lee-Pomeransky表示中Feynman积分的参数的渐近展开。证明了前面关于如何获得渐近级数的猜想，并确定了级数项的形式以及级数与参与被积数的多项式的牛顿多面体之间的关系。