Many evaluations of terminating hypergeometric series at arguments other than 1 are given. Some are equivalent to some unpublished work of Gosper, while others are new. In particular, two new evaluations of ₇ F₆’s with four parameters are stated. The main technique is a change of variables formula which is equivalent to the Lagrange inversion formula. A new proof of Whipple’s transformation of a very well poised ₇ F₆ into a Saalschützian ₄ F₃ is a corollary.
No takes yet. Share an insight, caveat, or question.
Gessel et al. (1982) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: