Expansion formulas for elliptic hypergeometric series
arXiv:2403.03623
Abstract
We provide an alternate approach to obtaining expansion formulas on the lines of the well-poised Bailey lemma. We recover results due to Spiridonov and Warnaar and one new formula of this type. These formulas contain an arbitrary sequence as an argument, and are thus flexible in the number of parameters they contain. As a result, we are able to derive new transformation formulas for elliptic hypergeometric series. These transformation formulas appear to be new even in the basic hypergeometric case, when .
11 pp. Referee comments changed version 3 substantially. In particular, make of the earlier claimed transformation formulas, were special cases of known or previously stated results. Also, referees' comments made us rewrite the results. Should ignore previous versions