Abstract
Half a century ago, The Proceedings of the London Mathematical Society published W. N. Bailey’s influential paper Identities of the Rogers-Ramanujan type [16]. The main result therein, which was inspired by Rogers’ second proof of the Rogers-Ramanujan identities [49] (and also [48,28,15]), is what is now known as Bailey’s lemma. To celebrate the occasion of the lemma’s fiftiest birthday we present a history of Bailey’s lemma in 5 chapters (or rather sections), covering (i) Bailey’s work, (ii) the Bailey chain (iii) the Bailey lattice (iv) the Bailey lemma in statistical mechanics, and (v) conjugate Bailey pairs.
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Warnaar, S.O. (2001). 50 Years of Bailey’s Lemma. In: Betten, A., Kohnert, A., Laue, R., Wassermann, A. (eds) Algebraic Combinatorics and Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59448-9_23
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DOI: https://doi.org/10.1007/978-3-642-59448-9_23
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