A note on the trinomial analogue of Bailey's lemma

1997/02/17 by S. Ole Warnaar, Warnaar, S. Ole
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematics and Applications #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.q-alg/9702021

openalex publication_date 1997/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently, Andrews and Berkovich introduced a trinomial version of Bailey's lemma. In this note we show that each ordinary Bailey pair gives rise to a trinomial Bailey pair. This largely widens the applicability of the trinomial Bailey lemma and proves some of the identities proposed by Andrews and Berkovich.

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