2002 Journal Article Partial-sum analogues of the Rogers-Ramanujan identitiesWarnaar, S. O. (2002). Partial-sum analogues of the Rogers-Ramanujan identities. Journal of Combinatorial Theory, Series A, 99 (1), 143-161. doi: 10.1006/jcta.2002.3266 |
2002 Journal Article Summation and transformation formulas for elliptic hypergeometric seriesWarnaar, S. O. (2002). Summation and transformation formulas for elliptic hypergeometric series. Constructive Approximation, 18 (4), 479-502. doi: 10.1007/s00365-002-0501-6 |
2002 Journal Article HypWarnaar, S. O. (2002). Hyp. Australian Mathematical Society Gazette, 29 (5), 277-279. |
2001 Journal Article Refined q-trinomial coefficients and character identitiesWarnaar, SO (2001). Refined q-trinomial coefficients and character identities. Journal of Statistical Physics, 102 (3-4), 1065-1081. doi: 10.1023/A:1004827709169 |
1999 Journal Article An A(2) Bailey lemma and Rogers-Ramanujan-type identitiesAndrews, GE, Schilling, A and Warnaar, SO (1999). An A(2) Bailey lemma and Rogers-Ramanujan-type identities. Journal of the American Mathematical Society, 12 (3), 677-702. doi: 10.1090/S0894-0347-99-00297-0 |
1999 Journal Article q-trinomial identitiesWarnaar, SO (1999). q-trinomial identities. Journal of Mathematical Physics, 40 (5), 2514-2530. doi: 10.1063/1.532880 |
1999 Journal Article Inhomogeneous lattice paths, generalized Kostka polynomials and A(n-1) supernomialsSchilling, A and Warnaar, SO (1999). Inhomogeneous lattice paths, generalized Kostka polynomials and A(n-1) supernomials. Communications in Mathematical Physics, 202 (2), 359-401. doi: 10.1007/s002200050586 |
1998 Journal Article A note on the trinomial analogue of Bailey's lemmaWarnaar, SO (1998). A note on the trinomial analogue of Bailey's lemma. Journal of Combinatorial Theory Series a, 81 (1), 114-118. doi: 10.1006/jcta.1997.2830 |
1998 Journal Article Supernomial coefficients, polynomial identities and q-seriesSchilling, A and Warnaar, SO (1998). Supernomial coefficients, polynomial identities and q-series. Ramanujan Journal, 2 (4), 459-494. doi: 10.1023/A:1009780810189 |
1998 Journal Article A higher level Bailey lemma: Proof and applicationSchilling, A and Warnaar, SO (1998). A higher level Bailey lemma: Proof and application. Ramanujan Journal, 2 (3), 327-349. doi: 10.1023/A:1009746932284 |
1997 Journal Article Analytic calculation of conformal partition functions: Tricritical hard squares with fixed boundariesOBrien, DL, Pearce, PA and Warnaar, SO (1997). Analytic calculation of conformal partition functions: Tricritical hard squares with fixed boundaries. Nuclear Physics B, 501 (3), 773-799. doi: 10.1016/S0550-3213(97)00424-0 |
1997 Journal Article Bailey flows and Bose-Fermi identities for the conformal coset models (A(1)((1)))(N) x (A(1)((1)))(N')/(A(1)((1)))(N+N')Berkovich, A, McCoy, BM, Schilling, A and Warnaar, SO (1997). Bailey flows and Bose-Fermi identities for the conformal coset models (A(1)((1)))(N) x (A(1)((1)))(N')/(A(1)((1)))(N+N'). Nuclear Physics B, 499 (3), 621-649. doi: 10.1016/S0550-3213(97)82955-0 |
1997 Journal Article The Andrews-Gordon identities and q-multinomial coefficientsWarnaar, SO (1997). The Andrews-Gordon identities and q-multinomial coefficients. Communications in Mathematical Physics, 184 (1), 203-232. doi: 10.1007/s002200050058 |
1996 Journal Article Fermionic solution of the Andrews-Baxter-Forrester model .2. Proof of Melzer's polynomial identitiesWarnaar, SO (1996). Fermionic solution of the Andrews-Baxter-Forrester model .2. Proof of Melzer's polynomial identities. Journal of Statistical Physics, 84 (1-2), 49-83. doi: 10.1007/BF02179577 |
1996 Journal Article Finitized conformal spectrum of the Ising model on the cylinder and torusOBrien, DL, Pearce, PA and Warnaar, SO (1996). Finitized conformal spectrum of the Ising model on the cylinder and torus. Physica a, 228 (1-4), 63-77. doi: 10.1016/S0378-4371(96)00055-6 |
1996 Journal Article A bijection which implies Melzer's polynomial identities: The chi(1,1)((p,p+1)) caseFoda, O and Warnaar, SO (1996). A bijection which implies Melzer's polynomial identities: The chi(1,1)((p,p+1)) case. Letters in Mathematical Physics, 36 (2), 145-155. doi: 10.1007/BF00714377 |
1996 Journal Article A proof of polynomial identities of type s(l(n))over-cap(1)circle times s(l(n))over-cap(1)/s(l(n))over-cap(2)Foda, O, Okado, M and Warnaar, SO (1996). A proof of polynomial identities of type s(l(n))over-cap(1)circle times s(l(n))over-cap(1)/s(l(n))over-cap(2). Journal of Mathematical Physics, 37 (2), 965-986. doi: 10.1063/1.531698 |
1995 Journal Article Yang-Baxter algebras based on the two-colour BWM algebraGrimm, U and Warnaar, SO (1995). Yang-Baxter algebras based on the two-colour BWM algebra. Journal of Physics A-Mathematical and General, 28 (24), 7197-7207. doi: 10.1088/0305-4470/28/24/017 |
1995 Journal Article SOLVABLE RSOS MODELS BASED ON THE DILUTE BWM ALGEBRAGRIMM, U and WARNAAR, SO (1995). SOLVABLE RSOS MODELS BASED ON THE DILUTE BWM ALGEBRA. Nuclear Physics B, 435 (3), 482-504. doi: 10.1016/0550-3213(94)00405-4 |
1995 Journal Article ALGEBRAIC CONSTRUCTION OF HIGHER-RANK DILUTE A-MODELSWARNAAR, SO (1995). ALGEBRAIC CONSTRUCTION OF HIGHER-RANK DILUTE A-MODELS. Nuclear Physics B, 435 (3), 463-481. doi: 10.1016/0550-3213(94)00424-D |