A generalization of the q-Saalschutz sum and the Burge transform
Skip to main content
eScholarship
Open Access Publications from the University of California

A generalization of the q-Saalschutz sum and the Burge transform

  • Author(s): Schilling, A.
  • Warnaar, S. O.
  • et al.

Published Web Location

https://arxiv.org/pdf/math/9909044.pdf
No 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.

Item not freely available? Link broken?
Report a problem accessing this item