Trager's Hermite reduction solves the integration problem for algebraic functions via integral bases. A generalization of this algorithm to D-finite functions has so far been limited to the Fuchsian case. In the present paper, we remove this restriction and propose a reduction algorithm based on integral bases that is applicable to arbitrary D-finite functions.

翻译：Trager 的 Hermite 削减 解决了通过集成基数的代数功能的整合问题。 将这一算法概括为D- fite 函数到目前为止仅限于Fuchsian 案例。 在本文中,我们取消了这一限制,并提出了基于集成基数的削减算法,适用于任意的D- fite 函数。