A Note on the Trinomial Analogue of Bailey's Lemma

Journal of Combinatorial Theory. Series A

Volumn 81, Issue 1, 1998, Pages 114-118

  Ole Warnaar, S ^a,b  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001463962     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcta.1997.2830     Document Type: Article

References (8)

1. G. E. Andrews, Euler's "Exemplum memorabile induction fallacis" and q-trinomial coefficients, J. Amer. Math. Soc. 3 (1990), 653-669.
2. G. E. Andrews and R. J. Baxter, Lattice gas generalization of the hard hexagon model. III. q-Trinomial coefficients, J. Statist. Phys. 47 (1987), 297-330.
3. G. E. Andrews and A. Berkovich, "A Trinomial Analogue of Bailey's Lemma and N = 2 Superconformal Invariance," Rep. q-alg/9702008 [submitted to Comm. Math. Phys.].
4. A. Berkovich, Fermionic counting of RSOS-states and Virasoro character formulas for the unitary minimal series M(ν, ν + 1): Exact results, Nucl. Phys. B 431 (1994), 315-348.
5. N+M conformal coset models, Nucl. Phys. B 467 (1996), 247-271.
6. L. J. Slater, A new proof of Roger's transformations of infinite series, Proc. London Math. Soc. (2) 53 (1951), 460-475.
7. S. O. Warnaar, Fermionic solution of the Andrews-Baxter-Forrester model. II. Proof of Melzer's polynomial identities, J. Statist. Phys. 84 (1996), 49-83.
8. S. O. Warnaar, The Andrews-Gordon identities and q-multinomial coefficients, Comm. Math. Phys. 184 (1997), 203-232.