860,014 research outputs found
Extensions of the well-poised and elliptic well-poised Bailey lemma
We establish a number of extensions of the well-poised Bailey lemma and
elliptic well-poised Bailey lemma. As application we prove some new
transformation formulae for basic and elliptic hypergeometric series, and embed
some recent identities of Andrews, Berkovich and Spiridonov in a well-poised
Bailey tree.Comment: 16 pages, AMS-LaTeX, to appear in Indag. Math. (N.S.
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December 2016 Newsletter
Letter from the Executive Director -- Distinguished Lectures & Conferences -- Research & Publications -- Faculty & Student News.Newsletter of the Kay Bailey Hutchison Center for Energy, Law & Business, an interdisciplinary joint venture of the UT School of Law & the McCombs School of Business.The Kay Bailey Hutchison Center for Energy, Law, and Busines
Bailey flows and Bose-Fermi identities for the conformal coset models
We use the recently established higher-level Bailey lemma and Bose-Fermi
polynomial identities for the minimal models to demonstrate the
existence of a Bailey flow from to the coset models
where is a
positive integer and is fractional, and to obtain Bose-Fermi identities
for these models. The fermionic side of these identities is expressed in terms
of the fractional-level Cartan matrix introduced in the study of .
Relations between Bailey and renormalization group flow are discussed.Comment: 28 pages, AMS-Latex, two references adde
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