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A note on the trinomial analogue of Bailey's lemma

S. Ole Warnaar
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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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S. Ole Warnaar. 1997-03-05. A note on the trinomial analogue of Bailey's lemma. https://arxiv.org/abs/q-alg/9702021

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