Three-Term Relations for 3F2(1)
Classical Analysis and ODEs
2017-09-05 v2
Abstract
For the hypergeometric function of unit argument 3F2(1) we prove the existence and uniqueness of three-term relations with arbitrary integer shifts. We show that not only the original 3F2(1) function but also other five functions related to it satisfy one and the same three-term relation. This fact is referred to as simultaneousness. The uniqueness and simultaneousness provide three-term relations with a group symmetry of order 72.
Keywords
Cite
@article{arxiv.1604.00480,
title = {Three-Term Relations for 3F2(1)},
author = {Akihito Ebisu and Katsunori Iwasaki},
journal= {arXiv preprint arXiv:1604.00480},
year = {2017}
}
Comments
19 pages, 3 tables