A unified reduction for hypergeometric and q-hypergeometric creative telescoping
收藏中国科学院兰州化学物理研究所科学数据中心2025-12-19 更新2026-01-10 收录
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资源简介：
We adapt the theory of normal and special polynomials from symbolic integration to
the summation setting and then build up a general framework embracing both the usual
shift case and the q-shift case. In the context of this general framework, we develop a
unified reduction algorithm, and subsequently a creative telescoping algorithm, appliacable to both hypergeometric terms and their q-analogues. Our algorithms allow us to
split up the usual shift case and the q-shift case only when it is really necessary, and
thus instantly reveal the intrinsic differences between these two cases. Computational
experiments are also provided.
提供机构：
中国科学院兰州化学物理研究所科学数据中心
创建时间：
2025-12-19
