TL;DR
This paper provides a concise overview of Bailey's lemma, highlighting its historical significance and mathematical developments over 50 years since its introduction, including key identities and applications in q-series.
Contribution
It offers a comprehensive summary of Bailey's lemma's evolution and its impact on q-series identities over five decades.
Findings
Historical overview of Bailey's lemma
Key identities derived from Bailey's lemma
Applications in Rogers-Ramanujan type identities
Abstract
This is a paper published in 2001 based on a talk given in 1999 celebrating the 50th anniversary of W. N. Bailey's influential q-series paper "Identities of the Rogers-Ramanujan type". In no more than 13 pages I give a brief but reasonably complete overview of the mathematics related to Bailey's lemma.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · History and Theory of Mathematics