论文标题
积分p回复序列
Integral P-Recursive Sequences
论文作者
论文摘要
在较早的论文中，从代数数字字段和代数函数的字段已知的完整性概念已扩展到d-finite函数。本文的目的是将概念扩展到p回复序列的情况。为此，我们制定了一种用于查找有价值矢量空间的所有积分元素的一般算法，然后证明该算法不仅包括代数和D-FINITE情况，而且还涵盖了P恢复序列的情况。
In an earlier paper, the notion of integrality known from algebraic number fields and fields of algebraic functions has been extended to D-finite functions. The aim of the present paper is to extend the notion to the case of P-recursive sequences. In order to do so, we formulate a general algorithm for finding all integral elements for valued vector spaces and then show that this algorithm includes not only the algebraic and the D-finite cases but also covers the case of P-recursive sequences.
