On Hypergeometric 3F2(1)

Details On Hypergeometric 3F2(1) On Hypergeometric 3F2(1)

2006-03-03

arxiv.org/abs/math/0603096v1

Mathematics

Classical Analysis and ODEs

13 pages of text, 25 pages of appendices

Scientific paper

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.

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