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A generalization of the q-Saalschutz sum and the Burge transform
Published Web Location
https://arxiv.org/pdf/math/9909044.pdfNo data is associated with this publication.
Abstract
A generalization of the q-(Pfaff)-Saalschutz summation formula is proved. This implies a generalization of the Burge transform, resulting in an additional dimension of the ``Burge tree''. Limiting cases of our summation formula imply the (higher-level) Bailey lemma, provide a new decomposition of the q-multinomial coefficients, and can be used to prove the Lepowsky and Primc formula for the A_1^{(1)} string functions.