50 Years of Bailey’s Lemma

S. Ole Warnaar
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S. Ole Warnaar: Universiteit van Amsterdam, Instituut voor Theoretische Fysica

A chapter in Algebraic Combinatorics and Applications, 2001, pp 333-347 from Springer

Abstract: 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.

Keywords: Mock Theta Function; Basic Hypergeometric Series; String Function; Bailey Pair; Triple Product Identity (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59448-9_23

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DOI: 10.1007/978-3-642-59448-9_23

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