论Gosper对超几何级数的一个奇特求值
经典分析与常微分方程
2013-03-13 v2
摘要
在与D. Stanton的一系列通信中，R. W. Gosper给出了许多超几何级数的奇特求值。最近，我们重新发现了[Go]中出现的一个奇特超几何恒等式。本文证明该恒等式，并利用邻接算子推导其推广形式。关键词与短语：超几何级数，奇特求值，邻接算子。2010数学学科分类号：33C05。
引用
@article{arxiv.1204.3399,
title = {On a strange evaluation of the hypergeometric series by Gosper},
author = {Akihito Ebisu},
journal= {arXiv preprint arXiv:1204.3399},
year = {2013}
}
备注
8pages When compared to the previous version, we changed the title of the paper to "On a strange evaluation of the hypergeometric series by Gosper". Because we found a letter of R.W.Gosper to D. Stanton in which a spacial case of the main theorem in our paper was stated