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A Note on the Trinomial Analogue of Bailey's Lemma

✍ Scribed by S.Ole Warnaar

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
315 KB
Volume
81
Category
Article
ISSN
0097-3165

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✦ Synopsis

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.

1998 Academic Press

In a recent paper, Andrews and Berkovich (AB) proposed a trinomial analogue of Bailey's lemma [3]. As a starting point AB took the following definitions of the q-trinomial coefficients:

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