On Hypergeometric 3F2(1)
经典分析与常微分方程
2009-09-29 v1 数学物理
math.MP
摘要
By systematically applying ten inequivalent two-part relations between hypergeometric sums 3F2(1) to the published database of all such sums, 66 new sums are obtained. Many results extracted from the literature are shown to be special cases of these new sums. In particular, the general problem of finding elements contiguous to Watson's, Dixon's and Whipple's theorem is reduced to a simple algorithm suitable for machine computation. Several errors in the literature are corrected or noted.
引用
@article{arxiv.math/0603096,
title = {On Hypergeometric 3F2(1)},
author = {Michael Milgram},
journal= {arXiv preprint arXiv:math/0603096},
year = {2009}
}
备注
13 pages of text, 25 pages of appendices