A note on the trinomial analogue of Bailey's lemma

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.

4 pages, AMS-LaTeX. Some minor changes + added references

References in corpus (2)

• Fermionic counting of RSOS-states and Virasoro character formulas for the unitary minimal series M(ν,ν+1). Exact results
• Fermionic solution of the Andrews-Baxter-Forrester model II: proof of Melzer's polynomial identities