On Hypergeometrics 3F2(1) - A Review

Understand

By systematically applying ten well-known and inequivalent two-part relations between hypergeometric sums 3F2(...|1) to the published database of all such sums, 62 new sums are obtained.

• The existing literature is summarized, and many purportedly novel results extracted from that literature are shown to be special cases of these new sums.
• The general problem of finding elements contiguous to Watson's, Dixon's and Whipple's theorems is reduced to a simple algorithm suitable for machine computation.
• Several errors in the literature are corrected or noted.