Abstract
A multilateral Bailey lemma is proved, and multiple analogues of the Rogers–Ramanujan identities and Euler’s pentagonal theorem are constructed as applications. The extreme cases of the Andrews–Gordon identities are also generalized using the multilateral Bailey lemma where their final form are written in terms of determinants of theta functions.
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Coskun, H. A multilateral Bailey lemma and multiple Andrews–Gordon identities. Ramanujan J 26, 229–250 (2011). https://doi.org/10.1007/s11139-010-9275-9
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DOI: https://doi.org/10.1007/s11139-010-9275-9