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50 Years of Bailey’s Lemma

In: Algebraic Combinatorics and Applications

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  • S. Ole Warnaar

    (Universiteit van Amsterdam, Instituut voor Theoretische Fysica)

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.

Suggested Citation

  • S. Ole Warnaar, 2001. "50 Years of Bailey’s Lemma," Springer Books, in: Anton Betten & Axel Kohnert & Reinhard Laue & Alfred Wassermann (ed.), Algebraic Combinatorics and Applications, pages 333-347, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59448-9_23
    DOI: 10.1007/978-3-642-59448-9_23
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