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math.QA1999
A generalization of the q-Saalschutz sum and the Burge transform
A. Schilling, S. O. Warnaar
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…
math.QA1999
Conjugate Bailey pairs
Anne Schilling, S. Ole Warnaar
In this paper it is shown that the one-dimensional configuration sums of the solvable lattice models of Andrews, Baxter and Forrester and the string functions associated with admis…
math.QA1998
An A Bailey lemma and Rogers--Ramanujan-type identities
George E. Andrews, Anne Schilling, S. Ole Warnaar
Using new -functions recently introduced by Hatayama et al. and by (two of) the authors, we obtain an A_2 version of the classical Bailey lemma. We apply our result, which is di…