447 Instances of Hypergeometric 3F2(1)
Classical Analysis and ODEs
2011-05-17 v1
Abstract
259 new instances of hypergeometric 3F2(1) evaluations are obtained by systematically testing three-part transformations among these functions, against the previously known database of 133 such evaluations. A complete database of 447 evaluations is listed in a series of appendices, including one appendix where all cases are given in the form of packed pseudo-code, suitable for pasting as input instructions, to a computer algebra code.
Keywords
Cite
@article{arxiv.1105.3126,
title = {447 Instances of Hypergeometric 3F2(1)},
author = {Michael S. Milgram},
journal= {arXiv preprint arXiv:1105.3126},
year = {2011}
}
Comments
8 pages plus 7 Appendices including pseudo-code suitable for computer input